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Finding the Third Proportional to 7,757.44 and 12,327.19

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Solution

The third proportional to 7,757.44 and 12,327.19 is: 19,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.44 : 12,327.19 = 12,327.19 : x
  2. Step 2: Convert to fraction form
    7,757.44/12,327.19 = 12,327.19/x
  3. Step 3: Cross multiply
    7,757.44x = 12,327.19 × 12,327.19
  4. Step 4: Simplify right side
    7,757.44x = 151,959,551.66
  5. Step 5: Solve for x
    x = 151,959,551.66/7,757.44
  6. Step 6: Final answer
    x = 19,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.