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Finding the Third Proportional to 39,897 and 60,711

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Solution

The third proportional to 39,897 and 60,711 is: 92,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897 : 60,711 = 60,711 : x
  2. Step 2: Convert to fraction form
    39,897/60,711 = 60,711/x
  3. Step 3: Cross multiply
    39,897x = 60,711 × 60,711
  4. Step 4: Simplify right side
    39,897x = 3,685,825,521
  5. Step 5: Solve for x
    x = 3,685,825,521/39,897
  6. Step 6: Final answer
    x = 92,383.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.