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Finding the Third Proportional to 32,711 and 50,340

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Solution

The third proportional to 32,711 and 50,340 is: 77,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711 : 50,340 = 50,340 : x
  2. Step 2: Convert to fraction form
    32,711/50,340 = 50,340/x
  3. Step 3: Cross multiply
    32,711x = 50,340 × 50,340
  4. Step 4: Simplify right side
    32,711x = 2,534,115,600
  5. Step 5: Solve for x
    x = 2,534,115,600/32,711
  6. Step 6: Final answer
    x = 77,469.83

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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.