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Finding the Third Proportional to 15,801 and 23,801

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Solution

The third proportional to 15,801 and 23,801 is: 35,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801 : 23,801 = 23,801 : x
  2. Step 2: Convert to fraction form
    15,801/23,801 = 23,801/x
  3. Step 3: Cross multiply
    15,801x = 23,801 × 23,801
  4. Step 4: Simplify right side
    15,801x = 566,487,601
  5. Step 5: Solve for x
    x = 566,487,601/15,801
  6. Step 6: Final answer
    x = 35,851.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.