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Finding the Third Proportional to 5,888.25 and 11,958.75

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Solution

The third proportional to 5,888.25 and 11,958.75 is: 24,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.25 : 11,958.75 = 11,958.75 : x
  2. Step 2: Convert to fraction form
    5,888.25/11,958.75 = 11,958.75/x
  3. Step 3: Cross multiply
    5,888.25x = 11,958.75 × 11,958.75
  4. Step 4: Simplify right side
    5,888.25x = 143,011,701.56
  5. Step 5: Solve for x
    x = 143,011,701.56/5,888.25
  6. Step 6: Final answer
    x = 24,287.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.