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Finding the Third Proportional to 1,874.81 and 4,033.41

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Solution

The third proportional to 1,874.81 and 4,033.41 is: 8,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.81 : 4,033.41 = 4,033.41 : x
  2. Step 2: Convert to fraction form
    1,874.81/4,033.41 = 4,033.41/x
  3. Step 3: Cross multiply
    1,874.81x = 4,033.41 × 4,033.41
  4. Step 4: Simplify right side
    1,874.81x = 16,268,365.98
  5. Step 5: Solve for x
    x = 16,268,365.98/1,874.81
  6. Step 6: Final answer
    x = 8,677.33

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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.