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Finding the Third Proportional to 34.24 and 71.18

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Solution

The third proportional to 34.24 and 71.18 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.24 : 71.18 = 71.18 : x
  2. Step 2: Convert to fraction form
    34.24/71.18 = 71.18/x
  3. Step 3: Cross multiply
    34.24x = 71.18 × 71.18
  4. Step 4: Simplify right side
    34.24x = 5,066.63
  5. Step 5: Solve for x
    x = 5,066.63/34.24
  6. Step 6: Final answer
    x = 147.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.