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Finding the Third Proportional to 34.13 and 44.91

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Solution

The third proportional to 34.13 and 44.91 is: 59.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 44.91 = 44.91 : x
  2. Step 2: Convert to fraction form
    34.13/44.91 = 44.91/x
  3. Step 3: Cross multiply
    34.13x = 44.91 × 44.91
  4. Step 4: Simplify right side
    34.13x = 2,016.57
  5. Step 5: Solve for x
    x = 2,016.57/34.13
  6. Step 6: Final answer
    x = 59.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.