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Finding the Third Proportional to 1,919.11 and 4,133.95

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Solution

The third proportional to 1,919.11 and 4,133.95 is: 8,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.11 : 4,133.95 = 4,133.95 : x
  2. Step 2: Convert to fraction form
    1,919.11/4,133.95 = 4,133.95/x
  3. Step 3: Cross multiply
    1,919.11x = 4,133.95 × 4,133.95
  4. Step 4: Simplify right side
    1,919.11x = 17,089,568.44
  5. Step 5: Solve for x
    x = 17,089,568.44/1,919.11
  6. Step 6: Final answer
    x = 8,904.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.