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Finding the Third Proportional to 667.97 and 1,461.66

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Solution

The third proportional to 667.97 and 1,461.66 is: 3,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.97 : 1,461.66 = 1,461.66 : x
  2. Step 2: Convert to fraction form
    667.97/1,461.66 = 1,461.66/x
  3. Step 3: Cross multiply
    667.97x = 1,461.66 × 1,461.66
  4. Step 4: Simplify right side
    667.97x = 2,136,438.99
  5. Step 5: Solve for x
    x = 2,136,438.99/667.97
  6. Step 6: Final answer
    x = 3,198.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.