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Finding the Third Proportional to 24.52 and 37.62

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Solution

The third proportional to 24.52 and 37.62 is: 57.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.52 : 37.62 = 37.62 : x
  2. Step 2: Convert to fraction form
    24.52/37.62 = 37.62/x
  3. Step 3: Cross multiply
    24.52x = 37.62 × 37.62
  4. Step 4: Simplify right side
    24.52x = 1,415.05
  5. Step 5: Solve for x
    x = 1,415.05/24.52
  6. Step 6: Final answer
    x = 57.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.