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Finding the Third Proportional to 2,933.72 and 6,111.07

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Solution

The third proportional to 2,933.72 and 6,111.07 is: 12,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.72 : 6,111.07 = 6,111.07 : x
  2. Step 2: Convert to fraction form
    2,933.72/6,111.07 = 6,111.07/x
  3. Step 3: Cross multiply
    2,933.72x = 6,111.07 × 6,111.07
  4. Step 4: Simplify right side
    2,933.72x = 37,345,180.36
  5. Step 5: Solve for x
    x = 37,345,180.36/2,933.72
  6. Step 6: Final answer
    x = 12,729.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.