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Finding the Third Proportional to 896.91 and 1,753.31

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Solution

The third proportional to 896.91 and 1,753.31 is: 3,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.91 : 1,753.31 = 1,753.31 : x
  2. Step 2: Convert to fraction form
    896.91/1,753.31 = 1,753.31/x
  3. Step 3: Cross multiply
    896.91x = 1,753.31 × 1,753.31
  4. Step 4: Simplify right side
    896.91x = 3,074,104.72
  5. Step 5: Solve for x
    x = 3,074,104.72/896.91
  6. Step 6: Final answer
    x = 3,427.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.