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Finding the Third Proportional to 867.94 and 1,909.69

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Solution

The third proportional to 867.94 and 1,909.69 is: 4,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.94 : 1,909.69 = 1,909.69 : x
  2. Step 2: Convert to fraction form
    867.94/1,909.69 = 1,909.69/x
  3. Step 3: Cross multiply
    867.94x = 1,909.69 × 1,909.69
  4. Step 4: Simplify right side
    867.94x = 3,646,906.35
  5. Step 5: Solve for x
    x = 3,646,906.35/867.94
  6. Step 6: Final answer
    x = 4,201.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.