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Finding the Third Proportional to 10,839 and 23,662

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Solution

The third proportional to 10,839 and 23,662 is: 51,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839 : 23,662 = 23,662 : x
  2. Step 2: Convert to fraction form
    10,839/23,662 = 23,662/x
  3. Step 3: Cross multiply
    10,839x = 23,662 × 23,662
  4. Step 4: Simplify right side
    10,839x = 559,890,244
  5. Step 5: Solve for x
    x = 559,890,244/10,839
  6. Step 6: Final answer
    x = 51,655.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.