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Finding the Third Proportional to 10,860 and 16,244

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Solution

The third proportional to 10,860 and 16,244 is: 24,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860 : 16,244 = 16,244 : x
  2. Step 2: Convert to fraction form
    10,860/16,244 = 16,244/x
  3. Step 3: Cross multiply
    10,860x = 16,244 × 16,244
  4. Step 4: Simplify right side
    10,860x = 263,867,536
  5. Step 5: Solve for x
    x = 263,867,536/10,860
  6. Step 6: Final answer
    x = 24,297.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.