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Finding the Third Proportional to 766.73 and 1,901.88

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Solution

The third proportional to 766.73 and 1,901.88 is: 4,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,901.88 = 1,901.88 : x
  2. Step 2: Convert to fraction form
    766.73/1,901.88 = 1,901.88/x
  3. Step 3: Cross multiply
    766.73x = 1,901.88 × 1,901.88
  4. Step 4: Simplify right side
    766.73x = 3,617,141.52
  5. Step 5: Solve for x
    x = 3,617,141.52/766.73
  6. Step 6: Final answer
    x = 4,717.61

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.