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Finding the Third Proportional to 44.13 and 59.38

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Solution

The third proportional to 44.13 and 59.38 is: 79.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.13 : 59.38 = 59.38 : x
  2. Step 2: Convert to fraction form
    44.13/59.38 = 59.38/x
  3. Step 3: Cross multiply
    44.13x = 59.38 × 59.38
  4. Step 4: Simplify right side
    44.13x = 3,525.39
  5. Step 5: Solve for x
    x = 3,525.39/44.13
  6. Step 6: Final answer
    x = 79.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.