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Finding the Third Proportional to 2,763.56 and 4,791.94

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Solution

The third proportional to 2,763.56 and 4,791.94 is: 8,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.56 : 4,791.94 = 4,791.94 : x
  2. Step 2: Convert to fraction form
    2,763.56/4,791.94 = 4,791.94/x
  3. Step 3: Cross multiply
    2,763.56x = 4,791.94 × 4,791.94
  4. Step 4: Simplify right side
    2,763.56x = 22,962,665.00
  5. Step 5: Solve for x
    x = 22,962,665.00/2,763.56
  6. Step 6: Final answer
    x = 8,309.08

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.