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Finding the Third Proportional to 24.92 and 36.66

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Solution

The third proportional to 24.92 and 36.66 is: 53.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.92 : 36.66 = 36.66 : x
  2. Step 2: Convert to fraction form
    24.92/36.66 = 36.66/x
  3. Step 3: Cross multiply
    24.92x = 36.66 × 36.66
  4. Step 4: Simplify right side
    24.92x = 1,344.22
  5. Step 5: Solve for x
    x = 1,344.22/24.92
  6. Step 6: Final answer
    x = 53.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.