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Finding the Third Proportional to 23,154.75 and 31,380.75

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Solution

The third proportional to 23,154.75 and 31,380.75 is: 42,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.75 : 31,380.75 = 31,380.75 : x
  2. Step 2: Convert to fraction form
    23,154.75/31,380.75 = 31,380.75/x
  3. Step 3: Cross multiply
    23,154.75x = 31,380.75 × 31,380.75
  4. Step 4: Simplify right side
    23,154.75x = 984,751,470.56
  5. Step 5: Solve for x
    x = 984,751,470.56/23,154.75
  6. Step 6: Final answer
    x = 42,529.13

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.