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Finding the Third Proportional to 7,858.13 and 11,787.19

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Solution

The third proportional to 7,858.13 and 11,787.19 is: 17,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.13 : 11,787.19 = 11,787.19 : x
  2. Step 2: Convert to fraction form
    7,858.13/11,787.19 = 11,787.19/x
  3. Step 3: Cross multiply
    7,858.13x = 11,787.19 × 11,787.19
  4. Step 4: Simplify right side
    7,858.13x = 138,937,789.16
  5. Step 5: Solve for x
    x = 138,937,789.16/7,858.13
  6. Step 6: Final answer
    x = 17,680.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.