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Finding the Third Proportional to 897.25 and 1,961.13

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Solution

The third proportional to 897.25 and 1,961.13 is: 4,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.25 : 1,961.13 = 1,961.13 : x
  2. Step 2: Convert to fraction form
    897.25/1,961.13 = 1,961.13/x
  3. Step 3: Cross multiply
    897.25x = 1,961.13 × 1,961.13
  4. Step 4: Simplify right side
    897.25x = 3,846,011.27
  5. Step 5: Solve for x
    x = 3,846,011.27/897.25
  6. Step 6: Final answer
    x = 4,286.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.