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Finding the Third Proportional to 40.41 and 58.71

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Solution

The third proportional to 40.41 and 58.71 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.41 : 58.71 = 58.71 : x
  2. Step 2: Convert to fraction form
    40.41/58.71 = 58.71/x
  3. Step 3: Cross multiply
    40.41x = 58.71 × 58.71
  4. Step 4: Simplify right side
    40.41x = 3,446.97
  5. Step 5: Solve for x
    x = 3,446.97/40.41
  6. Step 6: Final answer
    x = 85.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.