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Finding the Third Proportional to 10,122.47 and 15,843.09

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Solution

The third proportional to 10,122.47 and 15,843.09 is: 24,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.47 : 15,843.09 = 15,843.09 : x
  2. Step 2: Convert to fraction form
    10,122.47/15,843.09 = 15,843.09/x
  3. Step 3: Cross multiply
    10,122.47x = 15,843.09 × 15,843.09
  4. Step 4: Simplify right side
    10,122.47x = 251,003,619.57
  5. Step 5: Solve for x
    x = 251,003,619.57/10,122.47
  6. Step 6: Final answer
    x = 24,796.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.