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Finding the Third Proportional to 2,487.38 and 5,213.81

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Solution

The third proportional to 2,487.38 and 5,213.81 is: 10,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.38 : 5,213.81 = 5,213.81 : x
  2. Step 2: Convert to fraction form
    2,487.38/5,213.81 = 5,213.81/x
  3. Step 3: Cross multiply
    2,487.38x = 5,213.81 × 5,213.81
  4. Step 4: Simplify right side
    2,487.38x = 27,183,840.79
  5. Step 5: Solve for x
    x = 27,183,840.79/2,487.38
  6. Step 6: Final answer
    x = 10,928.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.