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Finding the Third Proportional to 769.25 and 1,565.50

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Solution

The third proportional to 769.25 and 1,565.50 is: 3,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.25 : 1,565.50 = 1,565.50 : x
  2. Step 2: Convert to fraction form
    769.25/1,565.50 = 1,565.50/x
  3. Step 3: Cross multiply
    769.25x = 1,565.50 × 1,565.50
  4. Step 4: Simplify right side
    769.25x = 2,450,790.25
  5. Step 5: Solve for x
    x = 2,450,790.25/769.25
  6. Step 6: Final answer
    x = 3,185.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.