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Finding the Third Proportional to 10,741 and 23,599

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Solution

The third proportional to 10,741 and 23,599 is: 51,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741 : 23,599 = 23,599 : x
  2. Step 2: Convert to fraction form
    10,741/23,599 = 23,599/x
  3. Step 3: Cross multiply
    10,741x = 23,599 × 23,599
  4. Step 4: Simplify right side
    10,741x = 556,912,801
  5. Step 5: Solve for x
    x = 556,912,801/10,741
  6. Step 6: Final answer
    x = 51,849.25

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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.