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Finding the Third Proportional to 38,468 and 60,861

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Solution

The third proportional to 38,468 and 60,861 is: 96,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468 : 60,861 = 60,861 : x
  2. Step 2: Convert to fraction form
    38,468/60,861 = 60,861/x
  3. Step 3: Cross multiply
    38,468x = 60,861 × 60,861
  4. Step 4: Simplify right side
    38,468x = 3,704,061,321
  5. Step 5: Solve for x
    x = 3,704,061,321/38,468
  6. Step 6: Final answer
    x = 96,289.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.