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Finding the Third Proportional to 15,843.09 and 22,150.97

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Solution

The third proportional to 15,843.09 and 22,150.97 is: 30,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.09 : 22,150.97 = 22,150.97 : x
  2. Step 2: Convert to fraction form
    15,843.09/22,150.97 = 22,150.97/x
  3. Step 3: Cross multiply
    15,843.09x = 22,150.97 × 22,150.97
  4. Step 4: Simplify right side
    15,843.09x = 490,665,416.56
  5. Step 5: Solve for x
    x = 490,665,416.56/15,843.09
  6. Step 6: Final answer
    x = 30,970.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.