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Finding the Third Proportional to 9,439.75 and 22,046.75

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Solution

The third proportional to 9,439.75 and 22,046.75 is: 51,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.75 : 22,046.75 = 22,046.75 : x
  2. Step 2: Convert to fraction form
    9,439.75/22,046.75 = 22,046.75/x
  3. Step 3: Cross multiply
    9,439.75x = 22,046.75 × 22,046.75
  4. Step 4: Simplify right side
    9,439.75x = 486,059,185.56
  5. Step 5: Solve for x
    x = 486,059,185.56/9,439.75
  6. Step 6: Final answer
    x = 51,490.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.