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Finding the Third Proportional to 34.31 and 69.68

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Solution

The third proportional to 34.31 and 69.68 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.31 : 69.68 = 69.68 : x
  2. Step 2: Convert to fraction form
    34.31/69.68 = 69.68/x
  3. Step 3: Cross multiply
    34.31x = 69.68 × 69.68
  4. Step 4: Simplify right side
    34.31x = 4,855.11
  5. Step 5: Solve for x
    x = 4,855.11/34.31
  6. Step 6: Final answer
    x = 141.53

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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.