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Finding the Third Proportional to 24.25 and 40.38

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Solution

The third proportional to 24.25 and 40.38 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 40.38 = 40.38 : x
  2. Step 2: Convert to fraction form
    24.25/40.38 = 40.38/x
  3. Step 3: Cross multiply
    24.25x = 40.38 × 40.38
  4. Step 4: Simplify right side
    24.25x = 1,630.14
  5. Step 5: Solve for x
    x = 1,630.14/24.25
  6. Step 6: Final answer
    x = 67.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.