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Finding the Third Proportional to 52.97 and 80.86

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Solution

The third proportional to 52.97 and 80.86 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 80.86 = 80.86 : x
  2. Step 2: Convert to fraction form
    52.97/80.86 = 80.86/x
  3. Step 3: Cross multiply
    52.97x = 80.86 × 80.86
  4. Step 4: Simplify right side
    52.97x = 6,538.24
  5. Step 5: Solve for x
    x = 6,538.24/52.97
  6. Step 6: Final answer
    x = 123.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.