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Finding the Third Proportional to 32,234 and 51,771

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Solution

The third proportional to 32,234 and 51,771 is: 83,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234 : 51,771 = 51,771 : x
  2. Step 2: Convert to fraction form
    32,234/51,771 = 51,771/x
  3. Step 3: Cross multiply
    32,234x = 51,771 × 51,771
  4. Step 4: Simplify right side
    32,234x = 2,680,236,441
  5. Step 5: Solve for x
    x = 2,680,236,441/32,234
  6. Step 6: Final answer
    x = 83,149.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.