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Finding the Third Proportional to 2,733.75 and 5,921.86

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Solution

The third proportional to 2,733.75 and 5,921.86 is: 12,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 5,921.86 = 5,921.86 : x
  2. Step 2: Convert to fraction form
    2,733.75/5,921.86 = 5,921.86/x
  3. Step 3: Cross multiply
    2,733.75x = 5,921.86 × 5,921.86
  4. Step 4: Simplify right side
    2,733.75x = 35,068,418.46
  5. Step 5: Solve for x
    x = 35,068,418.46/2,733.75
  6. Step 6: Final answer
    x = 12,827.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.