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Finding the Third Proportional to 12,104.44 and 17,787.41

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Solution

The third proportional to 12,104.44 and 17,787.41 is: 26,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.44 : 17,787.41 = 17,787.41 : x
  2. Step 2: Convert to fraction form
    12,104.44/17,787.41 = 17,787.41/x
  3. Step 3: Cross multiply
    12,104.44x = 17,787.41 × 17,787.41
  4. Step 4: Simplify right side
    12,104.44x = 316,391,960.07
  5. Step 5: Solve for x
    x = 316,391,960.07/12,104.44
  6. Step 6: Final answer
    x = 26,138.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.