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Finding the Third Proportional to 1,891.41 and 4,043.39

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Solution

The third proportional to 1,891.41 and 4,043.39 is: 8,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.41 : 4,043.39 = 4,043.39 : x
  2. Step 2: Convert to fraction form
    1,891.41/4,043.39 = 4,043.39/x
  3. Step 3: Cross multiply
    1,891.41x = 4,043.39 × 4,043.39
  4. Step 4: Simplify right side
    1,891.41x = 16,349,007.75
  5. Step 5: Solve for x
    x = 16,349,007.75/1,891.41
  6. Step 6: Final answer
    x = 8,643.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.