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Finding the Third Proportional to 15,002 and 23,843

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Solution

The third proportional to 15,002 and 23,843 is: 37,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002 : 23,843 = 23,843 : x
  2. Step 2: Convert to fraction form
    15,002/23,843 = 23,843/x
  3. Step 3: Cross multiply
    15,002x = 23,843 × 23,843
  4. Step 4: Simplify right side
    15,002x = 568,488,649
  5. Step 5: Solve for x
    x = 568,488,649/15,002
  6. Step 6: Final answer
    x = 37,894.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.