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Finding the Third Proportional to 38,344.22 and 82,019.25

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Solution

The third proportional to 38,344.22 and 82,019.25 is: 175,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.22 : 82,019.25 = 82,019.25 : x
  2. Step 2: Convert to fraction form
    38,344.22/82,019.25 = 82,019.25/x
  3. Step 3: Cross multiply
    38,344.22x = 82,019.25 × 82,019.25
  4. Step 4: Simplify right side
    38,344.22x = 6,727,157,370.56
  5. Step 5: Solve for x
    x = 6,727,157,370.56/38,344.22
  6. Step 6: Final answer
    x = 175,441.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.