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Finding the Third Proportional to 23,238.56 and 36,934.31

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Solution

The third proportional to 23,238.56 and 36,934.31 is: 58,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.56 : 36,934.31 = 36,934.31 : x
  2. Step 2: Convert to fraction form
    23,238.56/36,934.31 = 36,934.31/x
  3. Step 3: Cross multiply
    23,238.56x = 36,934.31 × 36,934.31
  4. Step 4: Simplify right side
    23,238.56x = 1,364,143,439.85
  5. Step 5: Solve for x
    x = 1,364,143,439.85/23,238.56
  6. Step 6: Final answer
    x = 58,701.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.