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Finding the Third Proportional to 29,496 and 63,687

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Solution

The third proportional to 29,496 and 63,687 is: 137,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496 : 63,687 = 63,687 : x
  2. Step 2: Convert to fraction form
    29,496/63,687 = 63,687/x
  3. Step 3: Cross multiply
    29,496x = 63,687 × 63,687
  4. Step 4: Simplify right side
    29,496x = 4,056,033,969
  5. Step 5: Solve for x
    x = 4,056,033,969/29,496
  6. Step 6: Final answer
    x = 137,511.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.