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Finding the Third Proportional to 896.17 and 1,965.46

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Solution

The third proportional to 896.17 and 1,965.46 is: 4,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.17 : 1,965.46 = 1,965.46 : x
  2. Step 2: Convert to fraction form
    896.17/1,965.46 = 1,965.46/x
  3. Step 3: Cross multiply
    896.17x = 1,965.46 × 1,965.46
  4. Step 4: Simplify right side
    896.17x = 3,863,044.37
  5. Step 5: Solve for x
    x = 3,863,044.37/896.17
  6. Step 6: Final answer
    x = 4,310.63

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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.