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Finding the Third Proportional to 11,351.25 and 16,679.25

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Solution

The third proportional to 11,351.25 and 16,679.25 is: 24,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.25 : 16,679.25 = 16,679.25 : x
  2. Step 2: Convert to fraction form
    11,351.25/16,679.25 = 16,679.25/x
  3. Step 3: Cross multiply
    11,351.25x = 16,679.25 × 16,679.25
  4. Step 4: Simplify right side
    11,351.25x = 278,197,380.56
  5. Step 5: Solve for x
    x = 278,197,380.56/11,351.25
  6. Step 6: Final answer
    x = 24,508.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.