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Finding the Third Proportional to 16,107 and 25,560

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Solution

The third proportional to 16,107 and 25,560 is: 40,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107 : 25,560 = 25,560 : x
  2. Step 2: Convert to fraction form
    16,107/25,560 = 25,560/x
  3. Step 3: Cross multiply
    16,107x = 25,560 × 25,560
  4. Step 4: Simplify right side
    16,107x = 653,313,600
  5. Step 5: Solve for x
    x = 653,313,600/16,107
  6. Step 6: Final answer
    x = 40,560.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.