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Finding the Third Proportional to 12,747.09 and 27,338.63

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Solution

The third proportional to 12,747.09 and 27,338.63 is: 58,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.09 : 27,338.63 = 27,338.63 : x
  2. Step 2: Convert to fraction form
    12,747.09/27,338.63 = 27,338.63/x
  3. Step 3: Cross multiply
    12,747.09x = 27,338.63 × 27,338.63
  4. Step 4: Simplify right side
    12,747.09x = 747,400,416.89
  5. Step 5: Solve for x
    x = 747,400,416.89/12,747.09
  6. Step 6: Final answer
    x = 58,633.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.