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Finding the Third Proportional to 837.21 and 897.96

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Solution

The third proportional to 837.21 and 897.96 is: 963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.21 : 897.96 = 897.96 : x
  2. Step 2: Convert to fraction form
    837.21/897.96 = 897.96/x
  3. Step 3: Cross multiply
    837.21x = 897.96 × 897.96
  4. Step 4: Simplify right side
    837.21x = 806,333.85
  5. Step 5: Solve for x
    x = 806,333.85/837.21
  6. Step 6: Final answer
    x = 963.12

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.