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Finding the Third Proportional to 57.75 and 86.63

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Solution

The third proportional to 57.75 and 86.63 is: 129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 86.63 = 86.63 : x
  2. Step 2: Convert to fraction form
    57.75/86.63 = 86.63/x
  3. Step 3: Cross multiply
    57.75x = 86.63 × 86.63
  4. Step 4: Simplify right side
    57.75x = 7,503.89
  5. Step 5: Solve for x
    x = 7,503.89/57.75
  6. Step 6: Final answer
    x = 129.94

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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.