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Finding the Third Proportional to 15,839.20 and 22,144.13

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Solution

The third proportional to 15,839.20 and 22,144.13 is: 30,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.20 : 22,144.13 = 22,144.13 : x
  2. Step 2: Convert to fraction form
    15,839.20/22,144.13 = 22,144.13/x
  3. Step 3: Cross multiply
    15,839.20x = 22,144.13 × 22,144.13
  4. Step 4: Simplify right side
    15,839.20x = 490,362,272.02
  5. Step 5: Solve for x
    x = 490,362,272.02/15,839.20
  6. Step 6: Final answer
    x = 30,958.77

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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.