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Finding the Third Proportional to 37.75 and 86.13

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Solution

The third proportional to 37.75 and 86.13 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 86.13 = 86.13 : x
  2. Step 2: Convert to fraction form
    37.75/86.13 = 86.13/x
  3. Step 3: Cross multiply
    37.75x = 86.13 × 86.13
  4. Step 4: Simplify right side
    37.75x = 7,417.52
  5. Step 5: Solve for x
    x = 7,417.52/37.75
  6. Step 6: Final answer
    x = 196.49

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.