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Finding the Third Proportional to 5,319.13 and 11,439.25

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Solution

The third proportional to 5,319.13 and 11,439.25 is: 24,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.13 : 11,439.25 = 11,439.25 : x
  2. Step 2: Convert to fraction form
    5,319.13/11,439.25 = 11,439.25/x
  3. Step 3: Cross multiply
    5,319.13x = 11,439.25 × 11,439.25
  4. Step 4: Simplify right side
    5,319.13x = 130,856,440.56
  5. Step 5: Solve for x
    x = 130,856,440.56/5,319.13
  6. Step 6: Final answer
    x = 24,601.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.