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Finding the Third Proportional to 16,486 and 25,569

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Solution

The third proportional to 16,486 and 25,569 is: 39,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 25,569 = 25,569 : x
  2. Step 2: Convert to fraction form
    16,486/25,569 = 25,569/x
  3. Step 3: Cross multiply
    16,486x = 25,569 × 25,569
  4. Step 4: Simplify right side
    16,486x = 653,773,761
  5. Step 5: Solve for x
    x = 653,773,761/16,486
  6. Step 6: Final answer
    x = 39,656.30

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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.