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Finding the Third Proportional to 34.08 and 73.55

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Solution

The third proportional to 34.08 and 73.55 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.08 : 73.55 = 73.55 : x
  2. Step 2: Convert to fraction form
    34.08/73.55 = 73.55/x
  3. Step 3: Cross multiply
    34.08x = 73.55 × 73.55
  4. Step 4: Simplify right side
    34.08x = 5,409.14
  5. Step 5: Solve for x
    x = 5,409.14/34.08
  6. Step 6: Final answer
    x = 158.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.