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Finding the Third Proportional to 22.57 and 34.71

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Solution

The third proportional to 22.57 and 34.71 is: 53.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 34.71 = 34.71 : x
  2. Step 2: Convert to fraction form
    22.57/34.71 = 34.71/x
  3. Step 3: Cross multiply
    22.57x = 34.71 × 34.71
  4. Step 4: Simplify right side
    22.57x = 1,204.44
  5. Step 5: Solve for x
    x = 1,204.44/22.57
  6. Step 6: Final answer
    x = 53.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.