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Finding the Third Proportional to 23,737.50 and 56,022.75

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Solution

The third proportional to 23,737.50 and 56,022.75 is: 132,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.50 : 56,022.75 = 56,022.75 : x
  2. Step 2: Convert to fraction form
    23,737.50/56,022.75 = 56,022.75/x
  3. Step 3: Cross multiply
    23,737.50x = 56,022.75 × 56,022.75
  4. Step 4: Simplify right side
    23,737.50x = 3,138,548,517.56
  5. Step 5: Solve for x
    x = 3,138,548,517.56/23,737.50
  6. Step 6: Final answer
    x = 132,219.00

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.