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Finding the Third Proportional to 34.03 and 75.66

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Solution

The third proportional to 34.03 and 75.66 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.03 : 75.66 = 75.66 : x
  2. Step 2: Convert to fraction form
    34.03/75.66 = 75.66/x
  3. Step 3: Cross multiply
    34.03x = 75.66 × 75.66
  4. Step 4: Simplify right side
    34.03x = 5,723.87
  5. Step 5: Solve for x
    x = 5,723.87/34.03
  6. Step 6: Final answer
    x = 168.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.