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Finding the Third Proportional to 11,724.75 and 13,398.75

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Solution

The third proportional to 11,724.75 and 13,398.75 is: 15,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.75 : 13,398.75 = 13,398.75 : x
  2. Step 2: Convert to fraction form
    11,724.75/13,398.75 = 13,398.75/x
  3. Step 3: Cross multiply
    11,724.75x = 13,398.75 × 13,398.75
  4. Step 4: Simplify right side
    11,724.75x = 179,526,501.56
  5. Step 5: Solve for x
    x = 179,526,501.56/11,724.75
  6. Step 6: Final answer
    x = 15,311.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.