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Finding the Third Proportional to 23,874.75 and 54,340.88

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Solution

The third proportional to 23,874.75 and 54,340.88 is: 123,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 54,340.88 = 54,340.88 : x
  2. Step 2: Convert to fraction form
    23,874.75/54,340.88 = 54,340.88/x
  3. Step 3: Cross multiply
    23,874.75x = 54,340.88 × 54,340.88
  4. Step 4: Simplify right side
    23,874.75x = 2,952,930,695.77
  5. Step 5: Solve for x
    x = 2,952,930,695.77/23,874.75
  6. Step 6: Final answer
    x = 123,684.26

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.