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Finding the Third Proportional to 16,712 and 25,909

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Solution

The third proportional to 16,712 and 25,909 is: 40,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 25,909 = 25,909 : x
  2. Step 2: Convert to fraction form
    16,712/25,909 = 25,909/x
  3. Step 3: Cross multiply
    16,712x = 25,909 × 25,909
  4. Step 4: Simplify right side
    16,712x = 671,276,281
  5. Step 5: Solve for x
    x = 671,276,281/16,712
  6. Step 6: Final answer
    x = 40,167.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.