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Finding the Third Proportional to 769.50 and 1,634.91

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Solution

The third proportional to 769.50 and 1,634.91 is: 3,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,634.91 = 1,634.91 : x
  2. Step 2: Convert to fraction form
    769.50/1,634.91 = 1,634.91/x
  3. Step 3: Cross multiply
    769.50x = 1,634.91 × 1,634.91
  4. Step 4: Simplify right side
    769.50x = 2,672,918.45
  5. Step 5: Solve for x
    x = 2,672,918.45/769.50
  6. Step 6: Final answer
    x = 3,473.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.