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Finding the Third Proportional to 22,219.31 and 48,589.88

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Solution

The third proportional to 22,219.31 and 48,589.88 is: 106,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.31 : 48,589.88 = 48,589.88 : x
  2. Step 2: Convert to fraction form
    22,219.31/48,589.88 = 48,589.88/x
  3. Step 3: Cross multiply
    22,219.31x = 48,589.88 × 48,589.88
  4. Step 4: Simplify right side
    22,219.31x = 2,360,975,952.52
  5. Step 5: Solve for x
    x = 2,360,975,952.52/22,219.31
  6. Step 6: Final answer
    x = 106,257.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.