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Finding the Third Proportional to 837.23 and 1,823.30

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Solution

The third proportional to 837.23 and 1,823.30 is: 3,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.23 : 1,823.30 = 1,823.30 : x
  2. Step 2: Convert to fraction form
    837.23/1,823.30 = 1,823.30/x
  3. Step 3: Cross multiply
    837.23x = 1,823.30 × 1,823.30
  4. Step 4: Simplify right side
    837.23x = 3,324,411.49
  5. Step 5: Solve for x
    x = 3,324,411.49/837.23
  6. Step 6: Final answer
    x = 3,970.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.