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Finding the Third Proportional to 894.75 and 1,939.13

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Solution

The third proportional to 894.75 and 1,939.13 is: 4,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.75 : 1,939.13 = 1,939.13 : x
  2. Step 2: Convert to fraction form
    894.75/1,939.13 = 1,939.13/x
  3. Step 3: Cross multiply
    894.75x = 1,939.13 × 1,939.13
  4. Step 4: Simplify right side
    894.75x = 3,760,205.77
  5. Step 5: Solve for x
    x = 3,760,205.77/894.75
  6. Step 6: Final answer
    x = 4,202.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.