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Finding the Third Proportional to 896.91 and 1,976.48

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Solution

The third proportional to 896.91 and 1,976.48 is: 4,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.91 : 1,976.48 = 1,976.48 : x
  2. Step 2: Convert to fraction form
    896.91/1,976.48 = 1,976.48/x
  3. Step 3: Cross multiply
    896.91x = 1,976.48 × 1,976.48
  4. Step 4: Simplify right side
    896.91x = 3,906,490.48
  5. Step 5: Solve for x
    x = 3,906,490.48/896.91
  6. Step 6: Final answer
    x = 4,355.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.