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Finding the Third Proportional to 34.25 and 52.63

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Solution

The third proportional to 34.25 and 52.63 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.25 : 52.63 = 52.63 : x
  2. Step 2: Convert to fraction form
    34.25/52.63 = 52.63/x
  3. Step 3: Cross multiply
    34.25x = 52.63 × 52.63
  4. Step 4: Simplify right side
    34.25x = 2,769.39
  5. Step 5: Solve for x
    x = 2,769.39/34.25
  6. Step 6: Final answer
    x = 80.86

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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.