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Finding the Third Proportional to 1,680.09 and 3,651.66

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Solution

The third proportional to 1,680.09 and 3,651.66 is: 7,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.09 : 3,651.66 = 3,651.66 : x
  2. Step 2: Convert to fraction form
    1,680.09/3,651.66 = 3,651.66/x
  3. Step 3: Cross multiply
    1,680.09x = 3,651.66 × 3,651.66
  4. Step 4: Simplify right side
    1,680.09x = 13,334,593.37
  5. Step 5: Solve for x
    x = 13,334,593.37/1,680.09
  6. Step 6: Final answer
    x = 7,936.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.