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Finding the Third Proportional to 32,771 and 52,226

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Solution

The third proportional to 32,771 and 52,226 is: 83,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771 : 52,226 = 52,226 : x
  2. Step 2: Convert to fraction form
    32,771/52,226 = 52,226/x
  3. Step 3: Cross multiply
    32,771x = 52,226 × 52,226
  4. Step 4: Simplify right side
    32,771x = 2,727,555,076
  5. Step 5: Solve for x
    x = 2,727,555,076/32,771
  6. Step 6: Final answer
    x = 83,230.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.