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Finding the Third Proportional to 5,286.88 and 11,259.75

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Solution

The third proportional to 5,286.88 and 11,259.75 is: 23,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.88 : 11,259.75 = 11,259.75 : x
  2. Step 2: Convert to fraction form
    5,286.88/11,259.75 = 11,259.75/x
  3. Step 3: Cross multiply
    5,286.88x = 11,259.75 × 11,259.75
  4. Step 4: Simplify right side
    5,286.88x = 126,781,970.06
  5. Step 5: Solve for x
    x = 126,781,970.06/5,286.88
  6. Step 6: Final answer
    x = 23,980.51

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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.