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Finding the Third Proportional to 41,833.13 and 58,512.38

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Solution

The third proportional to 41,833.13 and 58,512.38 is: 81,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833.13 : 58,512.38 = 58,512.38 : x
  2. Step 2: Convert to fraction form
    41,833.13/58,512.38 = 58,512.38/x
  3. Step 3: Cross multiply
    41,833.13x = 58,512.38 × 58,512.38
  4. Step 4: Simplify right side
    41,833.13x = 3,423,698,028.14
  5. Step 5: Solve for x
    x = 3,423,698,028.14/41,833.13
  6. Step 6: Final answer
    x = 81,841.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.