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Finding the Third Proportional to 863.16 and 1,847.81

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Solution

The third proportional to 863.16 and 1,847.81 is: 3,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.16 : 1,847.81 = 1,847.81 : x
  2. Step 2: Convert to fraction form
    863.16/1,847.81 = 1,847.81/x
  3. Step 3: Cross multiply
    863.16x = 1,847.81 × 1,847.81
  4. Step 4: Simplify right side
    863.16x = 3,414,411.04
  5. Step 5: Solve for x
    x = 3,414,411.04/863.16
  6. Step 6: Final answer
    x = 3,955.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.