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Finding the Third Proportional to 2,091.09 and 3,136.92

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Solution

The third proportional to 2,091.09 and 3,136.92 is: 4,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.09 : 3,136.92 = 3,136.92 : x
  2. Step 2: Convert to fraction form
    2,091.09/3,136.92 = 3,136.92/x
  3. Step 3: Cross multiply
    2,091.09x = 3,136.92 × 3,136.92
  4. Step 4: Simplify right side
    2,091.09x = 9,840,278.85
  5. Step 5: Solve for x
    x = 9,840,278.85/2,091.09
  6. Step 6: Final answer
    x = 4,705.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.