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Finding the Third Proportional to 2,206.97 and 4,593.66

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Solution

The third proportional to 2,206.97 and 4,593.66 is: 9,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.97 : 4,593.66 = 4,593.66 : x
  2. Step 2: Convert to fraction form
    2,206.97/4,593.66 = 4,593.66/x
  3. Step 3: Cross multiply
    2,206.97x = 4,593.66 × 4,593.66
  4. Step 4: Simplify right side
    2,206.97x = 21,101,677.74
  5. Step 5: Solve for x
    x = 21,101,677.74/2,206.97
  6. Step 6: Final answer
    x = 9,561.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.