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Finding the Third Proportional to 2,822.03 and 6,182.26

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Solution

The third proportional to 2,822.03 and 6,182.26 is: 13,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.03 : 6,182.26 = 6,182.26 : x
  2. Step 2: Convert to fraction form
    2,822.03/6,182.26 = 6,182.26/x
  3. Step 3: Cross multiply
    2,822.03x = 6,182.26 × 6,182.26
  4. Step 4: Simplify right side
    2,822.03x = 38,220,359.96
  5. Step 5: Solve for x
    x = 38,220,359.96/2,822.03
  6. Step 6: Final answer
    x = 13,543.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.