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Finding the Third Proportional to 6,780.94 and 10,787.06

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Solution

The third proportional to 6,780.94 and 10,787.06 is: 17,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.94 : 10,787.06 = 10,787.06 : x
  2. Step 2: Convert to fraction form
    6,780.94/10,787.06 = 10,787.06/x
  3. Step 3: Cross multiply
    6,780.94x = 10,787.06 × 10,787.06
  4. Step 4: Simplify right side
    6,780.94x = 116,360,717.38
  5. Step 5: Solve for x
    x = 116,360,717.38/6,780.94
  6. Step 6: Final answer
    x = 17,159.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.