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Finding the Third Proportional to 29,507 and 63,712

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Solution

The third proportional to 29,507 and 63,712 is: 137,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507 : 63,712 = 63,712 : x
  2. Step 2: Convert to fraction form
    29,507/63,712 = 63,712/x
  3. Step 3: Cross multiply
    29,507x = 63,712 × 63,712
  4. Step 4: Simplify right side
    29,507x = 4,059,218,944
  5. Step 5: Solve for x
    x = 4,059,218,944/29,507
  6. Step 6: Final answer
    x = 137,568.00

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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.