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Finding the Third Proportional to 2,751.19 and 5,622.19

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Solution

The third proportional to 2,751.19 and 5,622.19 is: 11,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.19 : 5,622.19 = 5,622.19 : x
  2. Step 2: Convert to fraction form
    2,751.19/5,622.19 = 5,622.19/x
  3. Step 3: Cross multiply
    2,751.19x = 5,622.19 × 5,622.19
  4. Step 4: Simplify right side
    2,751.19x = 31,608,992.29
  5. Step 5: Solve for x
    x = 31,608,992.29/2,751.19
  6. Step 6: Final answer
    x = 11,489.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.