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Finding the Third Proportional to 31,843.13 and 69,222.09

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Solution

The third proportional to 31,843.13 and 69,222.09 is: 150,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.13 : 69,222.09 = 69,222.09 : x
  2. Step 2: Convert to fraction form
    31,843.13/69,222.09 = 69,222.09/x
  3. Step 3: Cross multiply
    31,843.13x = 69,222.09 × 69,222.09
  4. Step 4: Simplify right side
    31,843.13x = 4,791,698,263.13
  5. Step 5: Solve for x
    x = 4,791,698,263.13/31,843.13
  6. Step 6: Final answer
    x = 150,478.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.