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Finding the Third Proportional to 84.13 and 96.75

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Solution

The third proportional to 84.13 and 96.75 is: 111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 96.75 = 96.75 : x
  2. Step 2: Convert to fraction form
    84.13/96.75 = 96.75/x
  3. Step 3: Cross multiply
    84.13x = 96.75 × 96.75
  4. Step 4: Simplify right side
    84.13x = 9,360.56
  5. Step 5: Solve for x
    x = 9,360.56/84.13
  6. Step 6: Final answer
    x = 111.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.