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Finding the Third Proportional to 74.38 and 84.88

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Solution

The third proportional to 74.38 and 84.88 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.38 : 84.88 = 84.88 : x
  2. Step 2: Convert to fraction form
    74.38/84.88 = 84.88/x
  3. Step 3: Cross multiply
    74.38x = 84.88 × 84.88
  4. Step 4: Simplify right side
    74.38x = 7,203.77
  5. Step 5: Solve for x
    x = 7,203.77/74.38
  6. Step 6: Final answer
    x = 96.86

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.