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Finding the Third Proportional to 2,109.09 and 3,037.92

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Solution

The third proportional to 2,109.09 and 3,037.92 is: 4,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.09 : 3,037.92 = 3,037.92 : x
  2. Step 2: Convert to fraction form
    2,109.09/3,037.92 = 3,037.92/x
  3. Step 3: Cross multiply
    2,109.09x = 3,037.92 × 3,037.92
  4. Step 4: Simplify right side
    2,109.09x = 9,228,969.32
  5. Step 5: Solve for x
    x = 9,228,969.32/2,109.09
  6. Step 6: Final answer
    x = 4,375.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.