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Finding the Third Proportional to 7,531 and 16,099

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Solution

The third proportional to 7,531 and 16,099 is: 34,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531 : 16,099 = 16,099 : x
  2. Step 2: Convert to fraction form
    7,531/16,099 = 16,099/x
  3. Step 3: Cross multiply
    7,531x = 16,099 × 16,099
  4. Step 4: Simplify right side
    7,531x = 259,177,801
  5. Step 5: Solve for x
    x = 259,177,801/7,531
  6. Step 6: Final answer
    x = 34,414.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.