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Finding the Third Proportional to 5,884.31 and 12,588.75

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Solution

The third proportional to 5,884.31 and 12,588.75 is: 26,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.31 : 12,588.75 = 12,588.75 : x
  2. Step 2: Convert to fraction form
    5,884.31/12,588.75 = 12,588.75/x
  3. Step 3: Cross multiply
    5,884.31x = 12,588.75 × 12,588.75
  4. Step 4: Simplify right side
    5,884.31x = 158,476,626.56
  5. Step 5: Solve for x
    x = 158,476,626.56/5,884.31
  6. Step 6: Final answer
    x = 26,932.05

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