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Finding the Third Proportional to 24.47 and 35.73

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Solution

The third proportional to 24.47 and 35.73 is: 52.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 35.73 = 35.73 : x
  2. Step 2: Convert to fraction form
    24.47/35.73 = 35.73/x
  3. Step 3: Cross multiply
    24.47x = 35.73 × 35.73
  4. Step 4: Simplify right side
    24.47x = 1,276.95
  5. Step 5: Solve for x
    x = 1,276.95/24.47
  6. Step 6: Final answer
    x = 52.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.