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Finding the Third Proportional to 769.82 and 1,461.80

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Solution

The third proportional to 769.82 and 1,461.80 is: 2,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,461.80 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    769.82/1,461.80 = 1,461.80/x
  3. Step 3: Cross multiply
    769.82x = 1,461.80 × 1,461.80
  4. Step 4: Simplify right side
    769.82x = 2,136,850.10
  5. Step 5: Solve for x
    x = 2,136,850.10/769.82
  6. Step 6: Final answer
    x = 2,775.79

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.