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Finding the Third Proportional to 24.73 and 39.95

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Solution

The third proportional to 24.73 and 39.95 is: 64.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.73 : 39.95 = 39.95 : x
  2. Step 2: Convert to fraction form
    24.73/39.95 = 39.95/x
  3. Step 3: Cross multiply
    24.73x = 39.95 × 39.95
  4. Step 4: Simplify right side
    24.73x = 1,596.04
  5. Step 5: Solve for x
    x = 1,596.04/24.73
  6. Step 6: Final answer
    x = 64.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.