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Finding the Third Proportional to 14,022 and 21,033

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Solution

The third proportional to 14,022 and 21,033 is: 31,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 21,033 = 21,033 : x
  2. Step 2: Convert to fraction form
    14,022/21,033 = 21,033/x
  3. Step 3: Cross multiply
    14,022x = 21,033 × 21,033
  4. Step 4: Simplify right side
    14,022x = 442,387,089
  5. Step 5: Solve for x
    x = 442,387,089/14,022
  6. Step 6: Final answer
    x = 31,549.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.