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Finding the Third Proportional to 1,894.31 and 3,945.19

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Solution

The third proportional to 1,894.31 and 3,945.19 is: 8,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.31 : 3,945.19 = 3,945.19 : x
  2. Step 2: Convert to fraction form
    1,894.31/3,945.19 = 3,945.19/x
  3. Step 3: Cross multiply
    1,894.31x = 3,945.19 × 3,945.19
  4. Step 4: Simplify right side
    1,894.31x = 15,564,504.41
  5. Step 5: Solve for x
    x = 15,564,504.41/1,894.31
  6. Step 6: Final answer
    x = 8,216.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.