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Finding the Third Proportional to 1,191.94 and 2,817.84

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Solution

The third proportional to 1,191.94 and 2,817.84 is: 6,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.94 : 2,817.84 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    1,191.94/2,817.84 = 2,817.84/x
  3. Step 3: Cross multiply
    1,191.94x = 2,817.84 × 2,817.84
  4. Step 4: Simplify right side
    1,191.94x = 7,940,243.40
  5. Step 5: Solve for x
    x = 7,940,243.40/1,191.94
  6. Step 6: Final answer
    x = 6,661.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.