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Finding the Third Proportional to 2,765.81 and 6,012.56

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Solution

The third proportional to 2,765.81 and 6,012.56 is: 13,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.81 : 6,012.56 = 6,012.56 : x
  2. Step 2: Convert to fraction form
    2,765.81/6,012.56 = 6,012.56/x
  3. Step 3: Cross multiply
    2,765.81x = 6,012.56 × 6,012.56
  4. Step 4: Simplify right side
    2,765.81x = 36,150,907.82
  5. Step 5: Solve for x
    x = 36,150,907.82/2,765.81
  6. Step 6: Final answer
    x = 13,070.63

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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.