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Finding the Third Proportional to 1,753.73 and 3,837.80

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Solution

The third proportional to 1,753.73 and 3,837.80 is: 8,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.73 : 3,837.80 = 3,837.80 : x
  2. Step 2: Convert to fraction form
    1,753.73/3,837.80 = 3,837.80/x
  3. Step 3: Cross multiply
    1,753.73x = 3,837.80 × 3,837.80
  4. Step 4: Simplify right side
    1,753.73x = 14,728,684.85
  5. Step 5: Solve for x
    x = 14,728,684.85/1,753.73
  6. Step 6: Final answer
    x = 8,398.47

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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.