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Finding the Third Proportional to 2,439 and 5,724.75

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Solution

The third proportional to 2,439 and 5,724.75 is: 13,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 5,724.75 = 5,724.75 : x
  2. Step 2: Convert to fraction form
    2,439/5,724.75 = 5,724.75/x
  3. Step 3: Cross multiply
    2,439x = 5,724.75 × 5,724.75
  4. Step 4: Simplify right side
    2,439x = 32,772,762.56
  5. Step 5: Solve for x
    x = 32,772,762.56/2,439
  6. Step 6: Final answer
    x = 13,436.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.