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Finding the Third Proportional to 34,472 and 52,711

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Solution

The third proportional to 34,472 and 52,711 is: 80,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472 : 52,711 = 52,711 : x
  2. Step 2: Convert to fraction form
    34,472/52,711 = 52,711/x
  3. Step 3: Cross multiply
    34,472x = 52,711 × 52,711
  4. Step 4: Simplify right side
    34,472x = 2,778,449,521
  5. Step 5: Solve for x
    x = 2,778,449,521/34,472
  6. Step 6: Final answer
    x = 80,600.18

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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.