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Finding the Third Proportional to 8,692.31 and 13,078.97

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Solution

The third proportional to 8,692.31 and 13,078.97 is: 19,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.31 : 13,078.97 = 13,078.97 : x
  2. Step 2: Convert to fraction form
    8,692.31/13,078.97 = 13,078.97/x
  3. Step 3: Cross multiply
    8,692.31x = 13,078.97 × 13,078.97
  4. Step 4: Simplify right side
    8,692.31x = 171,059,423.56
  5. Step 5: Solve for x
    x = 171,059,423.56/8,692.31
  6. Step 6: Final answer
    x = 19,679.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.