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Finding the Third Proportional to 5,286.67 and 11,259.16

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Solution

The third proportional to 5,286.67 and 11,259.16 is: 23,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.67 : 11,259.16 = 11,259.16 : x
  2. Step 2: Convert to fraction form
    5,286.67/11,259.16 = 11,259.16/x
  3. Step 3: Cross multiply
    5,286.67x = 11,259.16 × 11,259.16
  4. Step 4: Simplify right side
    5,286.67x = 126,768,643.44
  5. Step 5: Solve for x
    x = 126,768,643.44/5,286.67
  6. Step 6: Final answer
    x = 23,978.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.