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Finding the Third Proportional to 2,933 and 6,641

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Solution

The third proportional to 2,933 and 6,641 is: 15,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933 : 6,641 = 6,641 : x
  2. Step 2: Convert to fraction form
    2,933/6,641 = 6,641/x
  3. Step 3: Cross multiply
    2,933x = 6,641 × 6,641
  4. Step 4: Simplify right side
    2,933x = 44,102,881
  5. Step 5: Solve for x
    x = 44,102,881/2,933
  6. Step 6: Final answer
    x = 15,036.78

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.