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Finding the Third Proportional to 22.88 and 34.81

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Solution

The third proportional to 22.88 and 34.81 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.88 : 34.81 = 34.81 : x
  2. Step 2: Convert to fraction form
    22.88/34.81 = 34.81/x
  3. Step 3: Cross multiply
    22.88x = 34.81 × 34.81
  4. Step 4: Simplify right side
    22.88x = 1,211.91
  5. Step 5: Solve for x
    x = 1,211.91/22.88
  6. Step 6: Final answer
    x = 52.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.