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Finding the Third Proportional to 12,666.38 and 27,745.88

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Solution

The third proportional to 12,666.38 and 27,745.88 is: 60,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.38 : 27,745.88 = 27,745.88 : x
  2. Step 2: Convert to fraction form
    12,666.38/27,745.88 = 27,745.88/x
  3. Step 3: Cross multiply
    12,666.38x = 27,745.88 × 27,745.88
  4. Step 4: Simplify right side
    12,666.38x = 769,833,579.52
  5. Step 5: Solve for x
    x = 769,833,579.52/12,666.38
  6. Step 6: Final answer
    x = 60,777.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.