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Finding the Third Proportional to 2,091.66 and 4,593.80

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Solution

The third proportional to 2,091.66 and 4,593.80 is: 10,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.66 : 4,593.80 = 4,593.80 : x
  2. Step 2: Convert to fraction form
    2,091.66/4,593.80 = 4,593.80/x
  3. Step 3: Cross multiply
    2,091.66x = 4,593.80 × 4,593.80
  4. Step 4: Simplify right side
    2,091.66x = 21,102,969.73
  5. Step 5: Solve for x
    x = 21,102,969.73/2,091.66
  6. Step 6: Final answer
    x = 10,089.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.