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Finding the Third Proportional to 24.47 and 36.77

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Solution

The third proportional to 24.47 and 36.77 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 36.77 = 36.77 : x
  2. Step 2: Convert to fraction form
    24.47/36.77 = 36.77/x
  3. Step 3: Cross multiply
    24.47x = 36.77 × 36.77
  4. Step 4: Simplify right side
    24.47x = 1,352.29
  5. Step 5: Solve for x
    x = 1,352.29/24.47
  6. Step 6: Final answer
    x = 55.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.