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Finding the Third Proportional to 79.92 and 96.52

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Solution

The third proportional to 79.92 and 96.52 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 96.52 = 96.52 : x
  2. Step 2: Convert to fraction form
    79.92/96.52 = 96.52/x
  3. Step 3: Cross multiply
    79.92x = 96.52 × 96.52
  4. Step 4: Simplify right side
    79.92x = 9,315.27
  5. Step 5: Solve for x
    x = 9,315.27/79.92
  6. Step 6: Final answer
    x = 116.55

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.