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Finding the Third Proportional to 24.52 and 37.95

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Solution

The third proportional to 24.52 and 37.95 is: 58.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.52 : 37.95 = 37.95 : x
  2. Step 2: Convert to fraction form
    24.52/37.95 = 37.95/x
  3. Step 3: Cross multiply
    24.52x = 37.95 × 37.95
  4. Step 4: Simplify right side
    24.52x = 1,440.44
  5. Step 5: Solve for x
    x = 1,440.44/24.52
  6. Step 6: Final answer
    x = 58.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.