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Finding the Third Proportional to 29,712 and 39,114

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Solution

The third proportional to 29,712 and 39,114 is: 51,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 39,114 = 39,114 : x
  2. Step 2: Convert to fraction form
    29,712/39,114 = 39,114/x
  3. Step 3: Cross multiply
    29,712x = 39,114 × 39,114
  4. Step 4: Simplify right side
    29,712x = 1,529,904,996
  5. Step 5: Solve for x
    x = 1,529,904,996/29,712
  6. Step 6: Final answer
    x = 51,491.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.