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Finding the Third Proportional to 55.03 and 97.69

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Solution

The third proportional to 55.03 and 97.69 is: 173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.03 : 97.69 = 97.69 : x
  2. Step 2: Convert to fraction form
    55.03/97.69 = 97.69/x
  3. Step 3: Cross multiply
    55.03x = 97.69 × 97.69
  4. Step 4: Simplify right side
    55.03x = 9,542.85
  5. Step 5: Solve for x
    x = 9,542.85/55.03
  6. Step 6: Final answer
    x = 173.41

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.