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Finding the Third Proportional to 34,265.25 and 52,734.38

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Solution

The third proportional to 34,265.25 and 52,734.38 is: 81,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.25 : 52,734.38 = 52,734.38 : x
  2. Step 2: Convert to fraction form
    34,265.25/52,734.38 = 52,734.38/x
  3. Step 3: Cross multiply
    34,265.25x = 52,734.38 × 52,734.38
  4. Step 4: Simplify right side
    34,265.25x = 2,780,914,306.64
  5. Step 5: Solve for x
    x = 2,780,914,306.64/34,265.25
  6. Step 6: Final answer
    x = 81,158.44

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