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Finding the Third Proportional to 23,877.28 and 44,324.72

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Solution

The third proportional to 23,877.28 and 44,324.72 is: 82,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.28 : 44,324.72 = 44,324.72 : x
  2. Step 2: Convert to fraction form
    23,877.28/44,324.72 = 44,324.72/x
  3. Step 3: Cross multiply
    23,877.28x = 44,324.72 × 44,324.72
  4. Step 4: Simplify right side
    23,877.28x = 1,964,680,692.27
  5. Step 5: Solve for x
    x = 1,964,680,692.27/23,877.28
  6. Step 6: Final answer
    x = 82,282.43

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.