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Finding the Third Proportional to 40,532 and 51,238

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Solution

The third proportional to 40,532 and 51,238 is: 64,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,532 : 51,238 = 51,238 : x
  2. Step 2: Convert to fraction form
    40,532/51,238 = 51,238/x
  3. Step 3: Cross multiply
    40,532x = 51,238 × 51,238
  4. Step 4: Simplify right side
    40,532x = 2,625,332,644
  5. Step 5: Solve for x
    x = 2,625,332,644/40,532
  6. Step 6: Final answer
    x = 64,771.85

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.