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Finding the Third Proportional to 10,649 and 23,161

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Solution

The third proportional to 10,649 and 23,161 is: 50,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649 : 23,161 = 23,161 : x
  2. Step 2: Convert to fraction form
    10,649/23,161 = 23,161/x
  3. Step 3: Cross multiply
    10,649x = 23,161 × 23,161
  4. Step 4: Simplify right side
    10,649x = 536,431,921
  5. Step 5: Solve for x
    x = 536,431,921/10,649
  6. Step 6: Final answer
    x = 50,373.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.