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Finding the Third Proportional to 2,768.77 and 6,004.55

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Solution

The third proportional to 2,768.77 and 6,004.55 is: 13,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.77 : 6,004.55 = 6,004.55 : x
  2. Step 2: Convert to fraction form
    2,768.77/6,004.55 = 6,004.55/x
  3. Step 3: Cross multiply
    2,768.77x = 6,004.55 × 6,004.55
  4. Step 4: Simplify right side
    2,768.77x = 36,054,583.17
  5. Step 5: Solve for x
    x = 36,054,583.17/2,768.77
  6. Step 6: Final answer
    x = 13,021.90

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Why These Related Problems?

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