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Finding the Third Proportional to 40.31 and 58.13

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Solution

The third proportional to 40.31 and 58.13 is: 83.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.31 : 58.13 = 58.13 : x
  2. Step 2: Convert to fraction form
    40.31/58.13 = 58.13/x
  3. Step 3: Cross multiply
    40.31x = 58.13 × 58.13
  4. Step 4: Simplify right side
    40.31x = 3,378.52
  5. Step 5: Solve for x
    x = 3,378.52/40.31
  6. Step 6: Final answer
    x = 83.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.