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Finding the Third Proportional to 12,679.90 and 27,269.16

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Solution

The third proportional to 12,679.90 and 27,269.16 is: 58,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.90 : 27,269.16 = 27,269.16 : x
  2. Step 2: Convert to fraction form
    12,679.90/27,269.16 = 27,269.16/x
  3. Step 3: Cross multiply
    12,679.90x = 27,269.16 × 27,269.16
  4. Step 4: Simplify right side
    12,679.90x = 743,606,882.59
  5. Step 5: Solve for x
    x = 743,606,882.59/12,679.90
  6. Step 6: Final answer
    x = 58,644.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.