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Finding the Third Proportional to 10,990 and 24,167

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Solution

The third proportional to 10,990 and 24,167 is: 53,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 24,167 = 24,167 : x
  2. Step 2: Convert to fraction form
    10,990/24,167 = 24,167/x
  3. Step 3: Cross multiply
    10,990x = 24,167 × 24,167
  4. Step 4: Simplify right side
    10,990x = 584,043,889
  5. Step 5: Solve for x
    x = 584,043,889/10,990
  6. Step 6: Final answer
    x = 53,143.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.