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Finding the Third Proportional to 41.59 and 76.44

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Solution

The third proportional to 41.59 and 76.44 is: 140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.59 : 76.44 = 76.44 : x
  2. Step 2: Convert to fraction form
    41.59/76.44 = 76.44/x
  3. Step 3: Cross multiply
    41.59x = 76.44 × 76.44
  4. Step 4: Simplify right side
    41.59x = 5,842.69
  5. Step 5: Solve for x
    x = 5,842.69/41.59
  6. Step 6: Final answer
    x = 140.47

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.