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Finding the Third Proportional to 823.03 and 1,761.38

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Solution

The third proportional to 823.03 and 1,761.38 is: 3,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,761.38 = 1,761.38 : x
  2. Step 2: Convert to fraction form
    823.03/1,761.38 = 1,761.38/x
  3. Step 3: Cross multiply
    823.03x = 1,761.38 × 1,761.38
  4. Step 4: Simplify right side
    823.03x = 3,102,462.53
  5. Step 5: Solve for x
    x = 3,102,462.53/823.03
  6. Step 6: Final answer
    x = 3,769.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.