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Finding the Third Proportional to 1,914.19 and 3,909.38

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Solution

The third proportional to 1,914.19 and 3,909.38 is: 7,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.19 : 3,909.38 = 3,909.38 : x
  2. Step 2: Convert to fraction form
    1,914.19/3,909.38 = 3,909.38/x
  3. Step 3: Cross multiply
    1,914.19x = 3,909.38 × 3,909.38
  4. Step 4: Simplify right side
    1,914.19x = 15,283,212.89
  5. Step 5: Solve for x
    x = 15,283,212.89/1,914.19
  6. Step 6: Final answer
    x = 7,984.18

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.