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Finding the Third Proportional to 2,529.56 and 6,012.56

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Solution

The third proportional to 2,529.56 and 6,012.56 is: 14,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.56 : 6,012.56 = 6,012.56 : x
  2. Step 2: Convert to fraction form
    2,529.56/6,012.56 = 6,012.56/x
  3. Step 3: Cross multiply
    2,529.56x = 6,012.56 × 6,012.56
  4. Step 4: Simplify right side
    2,529.56x = 36,150,907.82
  5. Step 5: Solve for x
    x = 36,150,907.82/2,529.56
  6. Step 6: Final answer
    x = 14,291.37

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.