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Finding the Third Proportional to 57 and 84

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Solution

The third proportional to 57 and 84 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 84 = 84 : x
  2. Step 2: Convert to fraction form
    57/84 = 84/x
  3. Step 3: Cross multiply
    57x = 84 × 84
  4. Step 4: Simplify right side
    57x = 7,056
  5. Step 5: Solve for x
    x = 7,056/57
  6. Step 6: Final answer
    x = 123.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.