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Finding the Third Proportional to 23,634.56 and 36,591.47

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Solution

The third proportional to 23,634.56 and 36,591.47 is: 56,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.56 : 36,591.47 = 36,591.47 : x
  2. Step 2: Convert to fraction form
    23,634.56/36,591.47 = 36,591.47/x
  3. Step 3: Cross multiply
    23,634.56x = 36,591.47 × 36,591.47
  4. Step 4: Simplify right side
    23,634.56x = 1,338,935,585.28
  5. Step 5: Solve for x
    x = 1,338,935,585.28/23,634.56
  6. Step 6: Final answer
    x = 56,651.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.