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Finding the Third Proportional to 24.61 and 36.91

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Solution

The third proportional to 24.61 and 36.91 is: 55.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.61 : 36.91 = 36.91 : x
  2. Step 2: Convert to fraction form
    24.61/36.91 = 36.91/x
  3. Step 3: Cross multiply
    24.61x = 36.91 × 36.91
  4. Step 4: Simplify right side
    24.61x = 1,362.65
  5. Step 5: Solve for x
    x = 1,362.65/24.61
  6. Step 6: Final answer
    x = 55.37

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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.