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Finding the Third Proportional to 11,724.75 and 16,511.25

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Solution

The third proportional to 11,724.75 and 16,511.25 is: 23,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.75 : 16,511.25 = 16,511.25 : x
  2. Step 2: Convert to fraction form
    11,724.75/16,511.25 = 16,511.25/x
  3. Step 3: Cross multiply
    11,724.75x = 16,511.25 × 16,511.25
  4. Step 4: Simplify right side
    11,724.75x = 272,621,376.56
  5. Step 5: Solve for x
    x = 272,621,376.56/11,724.75
  6. Step 6: Final answer
    x = 23,251.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.