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Finding the Third Proportional to 41,226 and 58,239

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Solution

The third proportional to 41,226 and 58,239 is: 82,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226 : 58,239 = 58,239 : x
  2. Step 2: Convert to fraction form
    41,226/58,239 = 58,239/x
  3. Step 3: Cross multiply
    41,226x = 58,239 × 58,239
  4. Step 4: Simplify right side
    41,226x = 3,391,781,121
  5. Step 5: Solve for x
    x = 3,391,781,121/41,226
  6. Step 6: Final answer
    x = 82,272.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.