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Finding the Third Proportional to 769.50 and 1,660.50

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Solution

The third proportional to 769.50 and 1,660.50 is: 3,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,660.50 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    769.50/1,660.50 = 1,660.50/x
  3. Step 3: Cross multiply
    769.50x = 1,660.50 × 1,660.50
  4. Step 4: Simplify right side
    769.50x = 2,757,260.25
  5. Step 5: Solve for x
    x = 2,757,260.25/769.50
  6. Step 6: Final answer
    x = 3,583.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.