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Finding the Third Proportional to 25,616.25 and 34,536.38

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Solution

The third proportional to 25,616.25 and 34,536.38 is: 46,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.25 : 34,536.38 = 34,536.38 : x
  2. Step 2: Convert to fraction form
    25,616.25/34,536.38 = 34,536.38/x
  3. Step 3: Cross multiply
    25,616.25x = 34,536.38 × 34,536.38
  4. Step 4: Simplify right side
    25,616.25x = 1,192,761,198.14
  5. Step 5: Solve for x
    x = 1,192,761,198.14/25,616.25
  6. Step 6: Final answer
    x = 46,562.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.