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Finding the Third Proportional to 3,063 and 5,937

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Solution

The third proportional to 3,063 and 5,937 is: 11,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063 : 5,937 = 5,937 : x
  2. Step 2: Convert to fraction form
    3,063/5,937 = 5,937/x
  3. Step 3: Cross multiply
    3,063x = 5,937 × 5,937
  4. Step 4: Simplify right side
    3,063x = 35,247,969
  5. Step 5: Solve for x
    x = 35,247,969/3,063
  6. Step 6: Final answer
    x = 11,507.66

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.