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Finding the Third Proportional to 2,619.56 and 5,193.56

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Solution

The third proportional to 2,619.56 and 5,193.56 is: 10,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.56 : 5,193.56 = 5,193.56 : x
  2. Step 2: Convert to fraction form
    2,619.56/5,193.56 = 5,193.56/x
  3. Step 3: Cross multiply
    2,619.56x = 5,193.56 × 5,193.56
  4. Step 4: Simplify right side
    2,619.56x = 26,973,091.44
  5. Step 5: Solve for x
    x = 26,973,091.44/2,619.56
  6. Step 6: Final answer
    x = 10,296.79

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.