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Finding the Third Proportional to 24.88 and 35.38

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Solution

The third proportional to 24.88 and 35.38 is: 50.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.88 : 35.38 = 35.38 : x
  2. Step 2: Convert to fraction form
    24.88/35.38 = 35.38/x
  3. Step 3: Cross multiply
    24.88x = 35.38 × 35.38
  4. Step 4: Simplify right side
    24.88x = 1,251.39
  5. Step 5: Solve for x
    x = 1,251.39/24.88
  6. Step 6: Final answer
    x = 50.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.