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Finding the Third Proportional to 863.13 and 1,900.88

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Solution

The third proportional to 863.13 and 1,900.88 is: 4,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.13 : 1,900.88 = 1,900.88 : x
  2. Step 2: Convert to fraction form
    863.13/1,900.88 = 1,900.88/x
  3. Step 3: Cross multiply
    863.13x = 1,900.88 × 1,900.88
  4. Step 4: Simplify right side
    863.13x = 3,613,325.77
  5. Step 5: Solve for x
    x = 3,613,325.77/863.13
  6. Step 6: Final answer
    x = 4,186.33

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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.