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Finding the Third Proportional to 12,787.88 and 26,195.06

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Solution

The third proportional to 12,787.88 and 26,195.06 is: 53,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.88 : 26,195.06 = 26,195.06 : x
  2. Step 2: Convert to fraction form
    12,787.88/26,195.06 = 26,195.06/x
  3. Step 3: Cross multiply
    12,787.88x = 26,195.06 × 26,195.06
  4. Step 4: Simplify right side
    12,787.88x = 686,181,299.38
  5. Step 5: Solve for x
    x = 686,181,299.38/12,787.88
  6. Step 6: Final answer
    x = 53,658.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.