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Finding the Third Proportional to 10,860 and 24,189

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Solution

The third proportional to 10,860 and 24,189 is: 53,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860 : 24,189 = 24,189 : x
  2. Step 2: Convert to fraction form
    10,860/24,189 = 24,189/x
  3. Step 3: Cross multiply
    10,860x = 24,189 × 24,189
  4. Step 4: Simplify right side
    10,860x = 585,107,721
  5. Step 5: Solve for x
    x = 585,107,721/10,860
  6. Step 6: Final answer
    x = 53,877.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.