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Finding the Third Proportional to 868.27 and 1,901.23

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Solution

The third proportional to 868.27 and 1,901.23 is: 4,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.27 : 1,901.23 = 1,901.23 : x
  2. Step 2: Convert to fraction form
    868.27/1,901.23 = 1,901.23/x
  3. Step 3: Cross multiply
    868.27x = 1,901.23 × 1,901.23
  4. Step 4: Simplify right side
    868.27x = 3,614,684.72
  5. Step 5: Solve for x
    x = 3,614,684.72/868.27
  6. Step 6: Final answer
    x = 4,163.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.