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Finding the Third Proportional to 39.75 and 87.75

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Solution

The third proportional to 39.75 and 87.75 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 87.75 = 87.75 : x
  2. Step 2: Convert to fraction form
    39.75/87.75 = 87.75/x
  3. Step 3: Cross multiply
    39.75x = 87.75 × 87.75
  4. Step 4: Simplify right side
    39.75x = 7,700.06
  5. Step 5: Solve for x
    x = 7,700.06/39.75
  6. Step 6: Final answer
    x = 193.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.