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Finding the Third Proportional to 2,750.20 and 5,927.77

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Solution

The third proportional to 2,750.20 and 5,927.77 is: 12,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.20 : 5,927.77 = 5,927.77 : x
  2. Step 2: Convert to fraction form
    2,750.20/5,927.77 = 5,927.77/x
  3. Step 3: Cross multiply
    2,750.20x = 5,927.77 × 5,927.77
  4. Step 4: Simplify right side
    2,750.20x = 35,138,405.30
  5. Step 5: Solve for x
    x = 35,138,405.30/2,750.20
  6. Step 6: Final answer
    x = 12,776.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.