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Finding the Third Proportional to 29,509 and 63,713

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Solution

The third proportional to 29,509 and 63,713 is: 137,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509 : 63,713 = 63,713 : x
  2. Step 2: Convert to fraction form
    29,509/63,713 = 63,713/x
  3. Step 3: Cross multiply
    29,509x = 63,713 × 63,713
  4. Step 4: Simplify right side
    29,509x = 4,059,346,369
  5. Step 5: Solve for x
    x = 4,059,346,369/29,509
  6. Step 6: Final answer
    x = 137,562.99

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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.