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Finding the Third Proportional to 40,834 and 62,711

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Solution

The third proportional to 40,834 and 62,711 is: 96,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,834 : 62,711 = 62,711 : x
  2. Step 2: Convert to fraction form
    40,834/62,711 = 62,711/x
  3. Step 3: Cross multiply
    40,834x = 62,711 × 62,711
  4. Step 4: Simplify right side
    40,834x = 3,932,669,521
  5. Step 5: Solve for x
    x = 3,932,669,521/40,834
  6. Step 6: Final answer
    x = 96,308.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.