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Finding the Third Proportional to 34.17 and 73.20

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Solution

The third proportional to 34.17 and 73.20 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 73.20 = 73.20 : x
  2. Step 2: Convert to fraction form
    34.17/73.20 = 73.20/x
  3. Step 3: Cross multiply
    34.17x = 73.20 × 73.20
  4. Step 4: Simplify right side
    34.17x = 5,357.55
  5. Step 5: Solve for x
    x = 5,357.55/34.17
  6. Step 6: Final answer
    x = 156.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.