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Finding the Third Proportional to 34.97 and 70.92

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Solution

The third proportional to 34.97 and 70.92 is: 143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 70.92 = 70.92 : x
  2. Step 2: Convert to fraction form
    34.97/70.92 = 70.92/x
  3. Step 3: Cross multiply
    34.97x = 70.92 × 70.92
  4. Step 4: Simplify right side
    34.97x = 5,029.91
  5. Step 5: Solve for x
    x = 5,029.91/34.97
  6. Step 6: Final answer
    x = 143.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.