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Finding the Third Proportional to 9,211.22 and 19,627.31

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Solution

The third proportional to 9,211.22 and 19,627.31 is: 41,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.22 : 19,627.31 = 19,627.31 : x
  2. Step 2: Convert to fraction form
    9,211.22/19,627.31 = 19,627.31/x
  3. Step 3: Cross multiply
    9,211.22x = 19,627.31 × 19,627.31
  4. Step 4: Simplify right side
    9,211.22x = 385,231,395.97
  5. Step 5: Solve for x
    x = 385,231,395.97/9,211.22
  6. Step 6: Final answer
    x = 41,821.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.