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Finding the Third Proportional to 7,649 and 16,531

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Solution

The third proportional to 7,649 and 16,531 is: 35,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649 : 16,531 = 16,531 : x
  2. Step 2: Convert to fraction form
    7,649/16,531 = 16,531/x
  3. Step 3: Cross multiply
    7,649x = 16,531 × 16,531
  4. Step 4: Simplify right side
    7,649x = 273,273,961
  5. Step 5: Solve for x
    x = 273,273,961/7,649
  6. Step 6: Final answer
    x = 35,726.76

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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.