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Finding the Third Proportional to 24.13 and 31.09

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Solution

The third proportional to 24.13 and 31.09 is: 40.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 31.09 = 31.09 : x
  2. Step 2: Convert to fraction form
    24.13/31.09 = 31.09/x
  3. Step 3: Cross multiply
    24.13x = 31.09 × 31.09
  4. Step 4: Simplify right side
    24.13x = 966.82
  5. Step 5: Solve for x
    x = 966.82/24.13
  6. Step 6: Final answer
    x = 40.08

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.