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Finding the Third Proportional to 40.97 and 59.16

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Solution

The third proportional to 40.97 and 59.16 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 59.16 = 59.16 : x
  2. Step 2: Convert to fraction form
    40.97/59.16 = 59.16/x
  3. Step 3: Cross multiply
    40.97x = 59.16 × 59.16
  4. Step 4: Simplify right side
    40.97x = 3,499.46
  5. Step 5: Solve for x
    x = 3,499.46/40.97
  6. Step 6: Final answer
    x = 85.42

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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.