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Finding the Third Proportional to 863.44 and 1,864.69

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Solution

The third proportional to 863.44 and 1,864.69 is: 4,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.44 : 1,864.69 = 1,864.69 : x
  2. Step 2: Convert to fraction form
    863.44/1,864.69 = 1,864.69/x
  3. Step 3: Cross multiply
    863.44x = 1,864.69 × 1,864.69
  4. Step 4: Simplify right side
    863.44x = 3,477,059.47
  5. Step 5: Solve for x
    x = 3,477,059.47/863.44
  6. Step 6: Final answer
    x = 4,027.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.