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Finding the Third Proportional to 6,941 and 10,033

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Solution

The third proportional to 6,941 and 10,033 is: 14,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 10,033 = 10,033 : x
  2. Step 2: Convert to fraction form
    6,941/10,033 = 10,033/x
  3. Step 3: Cross multiply
    6,941x = 10,033 × 10,033
  4. Step 4: Simplify right side
    6,941x = 100,661,089
  5. Step 5: Solve for x
    x = 100,661,089/6,941
  6. Step 6: Final answer
    x = 14,502.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.