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Finding the Third Proportional to 1,909.69 and 4,050.56

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Solution

The third proportional to 1,909.69 and 4,050.56 is: 8,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.69 : 4,050.56 = 4,050.56 : x
  2. Step 2: Convert to fraction form
    1,909.69/4,050.56 = 4,050.56/x
  3. Step 3: Cross multiply
    1,909.69x = 4,050.56 × 4,050.56
  4. Step 4: Simplify right side
    1,909.69x = 16,407,056.57
  5. Step 5: Solve for x
    x = 16,407,056.57/1,909.69
  6. Step 6: Final answer
    x = 8,591.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.