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Finding the Third Proportional to 9,924.75 and 13,520.25

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Solution

The third proportional to 9,924.75 and 13,520.25 is: 18,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.75 : 13,520.25 = 13,520.25 : x
  2. Step 2: Convert to fraction form
    9,924.75/13,520.25 = 13,520.25/x
  3. Step 3: Cross multiply
    9,924.75x = 13,520.25 × 13,520.25
  4. Step 4: Simplify right side
    9,924.75x = 182,797,160.06
  5. Step 5: Solve for x
    x = 182,797,160.06/9,924.75
  6. Step 6: Final answer
    x = 18,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.