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Finding the Third Proportional to 2,703.56 and 5,811.31

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Solution

The third proportional to 2,703.56 and 5,811.31 is: 12,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.56 : 5,811.31 = 5,811.31 : x
  2. Step 2: Convert to fraction form
    2,703.56/5,811.31 = 5,811.31/x
  3. Step 3: Cross multiply
    2,703.56x = 5,811.31 × 5,811.31
  4. Step 4: Simplify right side
    2,703.56x = 33,771,352.97
  5. Step 5: Solve for x
    x = 33,771,352.97/2,703.56
  6. Step 6: Final answer
    x = 12,491.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.