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Finding the Third Proportional to 57.38 and 94.88

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Solution

The third proportional to 57.38 and 94.88 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.38 : 94.88 = 94.88 : x
  2. Step 2: Convert to fraction form
    57.38/94.88 = 94.88/x
  3. Step 3: Cross multiply
    57.38x = 94.88 × 94.88
  4. Step 4: Simplify right side
    57.38x = 9,001.27
  5. Step 5: Solve for x
    x = 9,001.27/57.38
  6. Step 6: Final answer
    x = 156.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.