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Finding the Third Proportional to 38,894 and 60,339

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Solution

The third proportional to 38,894 and 60,339 is: 93,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 60,339 = 60,339 : x
  2. Step 2: Convert to fraction form
    38,894/60,339 = 60,339/x
  3. Step 3: Cross multiply
    38,894x = 60,339 × 60,339
  4. Step 4: Simplify right side
    38,894x = 3,640,794,921
  5. Step 5: Solve for x
    x = 3,640,794,921/38,894
  6. Step 6: Final answer
    x = 93,608.14

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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.