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Finding the Third Proportional to 24.13 and 33.38

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Solution

The third proportional to 24.13 and 33.38 is: 46.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 33.38 = 33.38 : x
  2. Step 2: Convert to fraction form
    24.13/33.38 = 33.38/x
  3. Step 3: Cross multiply
    24.13x = 33.38 × 33.38
  4. Step 4: Simplify right side
    24.13x = 1,113.89
  5. Step 5: Solve for x
    x = 1,113.89/24.13
  6. Step 6: Final answer
    x = 46.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.