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Finding the Third Proportional to 5,213.38 and 10,858.75

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Solution

The third proportional to 5,213.38 and 10,858.75 is: 22,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.38 : 10,858.75 = 10,858.75 : x
  2. Step 2: Convert to fraction form
    5,213.38/10,858.75 = 10,858.75/x
  3. Step 3: Cross multiply
    5,213.38x = 10,858.75 × 10,858.75
  4. Step 4: Simplify right side
    5,213.38x = 117,912,451.56
  5. Step 5: Solve for x
    x = 117,912,451.56/5,213.38
  6. Step 6: Final answer
    x = 22,617.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.