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Finding the Third Proportional to 34.13 and 52.69

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Solution

The third proportional to 34.13 and 52.69 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 52.69 = 52.69 : x
  2. Step 2: Convert to fraction form
    34.13/52.69 = 52.69/x
  3. Step 3: Cross multiply
    34.13x = 52.69 × 52.69
  4. Step 4: Simplify right side
    34.13x = 2,775.97
  5. Step 5: Solve for x
    x = 2,775.97/34.13
  6. Step 6: Final answer
    x = 81.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.