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Finding the Third Proportional to 2,423.67 and 5,234.20

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Solution

The third proportional to 2,423.67 and 5,234.20 is: 11,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.67 : 5,234.20 = 5,234.20 : x
  2. Step 2: Convert to fraction form
    2,423.67/5,234.20 = 5,234.20/x
  3. Step 3: Cross multiply
    2,423.67x = 5,234.20 × 5,234.20
  4. Step 4: Simplify right side
    2,423.67x = 27,396,882.35
  5. Step 5: Solve for x
    x = 27,396,882.35/2,423.67
  6. Step 6: Final answer
    x = 11,303.87

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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.