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Finding the Third Proportional to 5,376.38 and 11,724.75

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Solution

The third proportional to 5,376.38 and 11,724.75 is: 25,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.38 : 11,724.75 = 11,724.75 : x
  2. Step 2: Convert to fraction form
    5,376.38/11,724.75 = 11,724.75/x
  3. Step 3: Cross multiply
    5,376.38x = 11,724.75 × 11,724.75
  4. Step 4: Simplify right side
    5,376.38x = 137,469,762.56
  5. Step 5: Solve for x
    x = 137,469,762.56/5,376.38
  6. Step 6: Final answer
    x = 25,569.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.