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Finding the Third Proportional to 2,423.81 and 5,234.44

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Solution

The third proportional to 2,423.81 and 5,234.44 is: 11,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.81 : 5,234.44 = 5,234.44 : x
  2. Step 2: Convert to fraction form
    2,423.81/5,234.44 = 5,234.44/x
  3. Step 3: Cross multiply
    2,423.81x = 5,234.44 × 5,234.44
  4. Step 4: Simplify right side
    2,423.81x = 27,399,335.94
  5. Step 5: Solve for x
    x = 27,399,335.94/2,423.81
  6. Step 6: Final answer
    x = 11,304.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.