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Finding the Third Proportional to 12,694.50 and 27,507.38

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Solution

The third proportional to 12,694.50 and 27,507.38 is: 59,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.50 : 27,507.38 = 27,507.38 : x
  2. Step 2: Convert to fraction form
    12,694.50/27,507.38 = 27,507.38/x
  3. Step 3: Cross multiply
    12,694.50x = 27,507.38 × 27,507.38
  4. Step 4: Simplify right side
    12,694.50x = 756,655,679.39
  5. Step 5: Solve for x
    x = 756,655,679.39/12,694.50
  6. Step 6: Final answer
    x = 59,605.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.