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Finding the Third Proportional to 57 and 69.56

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Solution

The third proportional to 57 and 69.56 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 69.56 = 69.56 : x
  2. Step 2: Convert to fraction form
    57/69.56 = 69.56/x
  3. Step 3: Cross multiply
    57x = 69.56 × 69.56
  4. Step 4: Simplify right side
    57x = 4,838.94
  5. Step 5: Solve for x
    x = 4,838.94/57
  6. Step 6: Final answer
    x = 84.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.