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Finding the Third Proportional to 1,753.73 and 3,896.79

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Solution

The third proportional to 1,753.73 and 3,896.79 is: 8,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.73 : 3,896.79 = 3,896.79 : x
  2. Step 2: Convert to fraction form
    1,753.73/3,896.79 = 3,896.79/x
  3. Step 3: Cross multiply
    1,753.73x = 3,896.79 × 3,896.79
  4. Step 4: Simplify right side
    1,753.73x = 15,184,965.00
  5. Step 5: Solve for x
    x = 15,184,965.00/1,753.73
  6. Step 6: Final answer
    x = 8,658.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.