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Finding the Third Proportional to 57.66 and 86.34

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Solution

The third proportional to 57.66 and 86.34 is: 129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 86.34 = 86.34 : x
  2. Step 2: Convert to fraction form
    57.66/86.34 = 86.34/x
  3. Step 3: Cross multiply
    57.66x = 86.34 × 86.34
  4. Step 4: Simplify right side
    57.66x = 7,455.24
  5. Step 5: Solve for x
    x = 7,455.24/57.66
  6. Step 6: Final answer
    x = 129.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.