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Finding the Third Proportional to 3,305 and 5,754

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Solution

The third proportional to 3,305 and 5,754 is: 10,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305 : 5,754 = 5,754 : x
  2. Step 2: Convert to fraction form
    3,305/5,754 = 5,754/x
  3. Step 3: Cross multiply
    3,305x = 5,754 × 5,754
  4. Step 4: Simplify right side
    3,305x = 33,108,516
  5. Step 5: Solve for x
    x = 33,108,516/3,305
  6. Step 6: Final answer
    x = 10,017.71

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.