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Finding the Third Proportional to 868 and 2,025.50

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Solution

The third proportional to 868 and 2,025.50 is: 4,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868 : 2,025.50 = 2,025.50 : x
  2. Step 2: Convert to fraction form
    868/2,025.50 = 2,025.50/x
  3. Step 3: Cross multiply
    868x = 2,025.50 × 2,025.50
  4. Step 4: Simplify right side
    868x = 4,102,650.25
  5. Step 5: Solve for x
    x = 4,102,650.25/868
  6. Step 6: Final answer
    x = 4,726.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.