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Finding the Third Proportional to 1,921.22 and 4,244.91

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Solution

The third proportional to 1,921.22 and 4,244.91 is: 9,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.22 : 4,244.91 = 4,244.91 : x
  2. Step 2: Convert to fraction form
    1,921.22/4,244.91 = 4,244.91/x
  3. Step 3: Cross multiply
    1,921.22x = 4,244.91 × 4,244.91
  4. Step 4: Simplify right side
    1,921.22x = 18,019,229.07
  5. Step 5: Solve for x
    x = 18,019,229.07/1,921.22
  6. Step 6: Final answer
    x = 9,379.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.