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Finding the Third Proportional to 27,019.69 and 43,164.75

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Solution

The third proportional to 27,019.69 and 43,164.75 is: 68,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.69 : 43,164.75 = 43,164.75 : x
  2. Step 2: Convert to fraction form
    27,019.69/43,164.75 = 43,164.75/x
  3. Step 3: Cross multiply
    27,019.69x = 43,164.75 × 43,164.75
  4. Step 4: Simplify right side
    27,019.69x = 1,863,195,642.56
  5. Step 5: Solve for x
    x = 1,863,195,642.56/27,019.69
  6. Step 6: Final answer
    x = 68,956.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.