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Finding the Third Proportional to 38,902 and 60,353

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Solution

The third proportional to 38,902 and 60,353 is: 93,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 60,353 = 60,353 : x
  2. Step 2: Convert to fraction form
    38,902/60,353 = 60,353/x
  3. Step 3: Cross multiply
    38,902x = 60,353 × 60,353
  4. Step 4: Simplify right side
    38,902x = 3,642,484,609
  5. Step 5: Solve for x
    x = 3,642,484,609/38,902
  6. Step 6: Final answer
    x = 93,632.32

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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.