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Finding the Third Proportional to 39,344 and 60,213

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Solution

The third proportional to 39,344 and 60,213 is: 92,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,344 : 60,213 = 60,213 : x
  2. Step 2: Convert to fraction form
    39,344/60,213 = 60,213/x
  3. Step 3: Cross multiply
    39,344x = 60,213 × 60,213
  4. Step 4: Simplify right side
    39,344x = 3,625,605,369
  5. Step 5: Solve for x
    x = 3,625,605,369/39,344
  6. Step 6: Final answer
    x = 92,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.