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Finding the Third Proportional to 5,268.22 and 11,286.03

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Solution

The third proportional to 5,268.22 and 11,286.03 is: 24,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.22 : 11,286.03 = 11,286.03 : x
  2. Step 2: Convert to fraction form
    5,268.22/11,286.03 = 11,286.03/x
  3. Step 3: Cross multiply
    5,268.22x = 11,286.03 × 11,286.03
  4. Step 4: Simplify right side
    5,268.22x = 127,374,539.95
  5. Step 5: Solve for x
    x = 127,374,539.95/5,268.22
  6. Step 6: Final answer
    x = 24,177.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.