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Finding the Third Proportional to 2,802.73 and 5,787.70

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Solution

The third proportional to 2,802.73 and 5,787.70 is: 11,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.73 : 5,787.70 = 5,787.70 : x
  2. Step 2: Convert to fraction form
    2,802.73/5,787.70 = 5,787.70/x
  3. Step 3: Cross multiply
    2,802.73x = 5,787.70 × 5,787.70
  4. Step 4: Simplify right side
    2,802.73x = 33,497,507.46
  5. Step 5: Solve for x
    x = 33,497,507.46/2,802.73
  6. Step 6: Final answer
    x = 11,951.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.