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Finding the Third Proportional to 41.39 and 60.59

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Solution

The third proportional to 41.39 and 60.59 is: 88.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.39 : 60.59 = 60.59 : x
  2. Step 2: Convert to fraction form
    41.39/60.59 = 60.59/x
  3. Step 3: Cross multiply
    41.39x = 60.59 × 60.59
  4. Step 4: Simplify right side
    41.39x = 3,670.66
  5. Step 5: Solve for x
    x = 3,670.66/41.39
  6. Step 6: Final answer
    x = 88.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.