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Finding the Third Proportional to 44.52 and 71.86

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Solution

The third proportional to 44.52 and 71.86 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.52 : 71.86 = 71.86 : x
  2. Step 2: Convert to fraction form
    44.52/71.86 = 71.86/x
  3. Step 3: Cross multiply
    44.52x = 71.86 × 71.86
  4. Step 4: Simplify right side
    44.52x = 5,164.27
  5. Step 5: Solve for x
    x = 5,164.27/44.52
  6. Step 6: Final answer
    x = 115.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.