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Finding the Third Proportional to 12,736.62 and 27,787.43

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Solution

The third proportional to 12,736.62 and 27,787.43 is: 60,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736.62 : 27,787.43 = 27,787.43 : x
  2. Step 2: Convert to fraction form
    12,736.62/27,787.43 = 27,787.43/x
  3. Step 3: Cross multiply
    12,736.62x = 27,787.43 × 27,787.43
  4. Step 4: Simplify right side
    12,736.62x = 772,141,248.64
  5. Step 5: Solve for x
    x = 772,141,248.64/12,736.62
  6. Step 6: Final answer
    x = 60,623.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.