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Finding the Third Proportional to 24.47 and 52.73

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Solution

The third proportional to 24.47 and 52.73 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 52.73 = 52.73 : x
  2. Step 2: Convert to fraction form
    24.47/52.73 = 52.73/x
  3. Step 3: Cross multiply
    24.47x = 52.73 × 52.73
  4. Step 4: Simplify right side
    24.47x = 2,780.91
  5. Step 5: Solve for x
    x = 2,780.91/24.47
  6. Step 6: Final answer
    x = 113.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.