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Finding the Third Proportional to 894.16 and 1,947.80

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Solution

The third proportional to 894.16 and 1,947.80 is: 4,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,947.80 = 1,947.80 : x
  2. Step 2: Convert to fraction form
    894.16/1,947.80 = 1,947.80/x
  3. Step 3: Cross multiply
    894.16x = 1,947.80 × 1,947.80
  4. Step 4: Simplify right side
    894.16x = 3,793,912.67
  5. Step 5: Solve for x
    x = 3,793,912.67/894.16
  6. Step 6: Final answer
    x = 4,242.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.