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Finding the Third Proportional to 3,382 and 7,033

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Solution

The third proportional to 3,382 and 7,033 is: 14,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 7,033 = 7,033 : x
  2. Step 2: Convert to fraction form
    3,382/7,033 = 7,033/x
  3. Step 3: Cross multiply
    3,382x = 7,033 × 7,033
  4. Step 4: Simplify right side
    3,382x = 49,463,089
  5. Step 5: Solve for x
    x = 49,463,089/3,382
  6. Step 6: Final answer
    x = 14,625.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.