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Finding the Third Proportional to 1,998.11 and 4,617.95

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Solution

The third proportional to 1,998.11 and 4,617.95 is: 10,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.11 : 4,617.95 = 4,617.95 : x
  2. Step 2: Convert to fraction form
    1,998.11/4,617.95 = 4,617.95/x
  3. Step 3: Cross multiply
    1,998.11x = 4,617.95 × 4,617.95
  4. Step 4: Simplify right side
    1,998.11x = 21,325,454.99
  5. Step 5: Solve for x
    x = 21,325,454.99/1,998.11
  6. Step 6: Final answer
    x = 10,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.