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Finding the Third Proportional to 27,019.31 and 43,164.19

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Solution

The third proportional to 27,019.31 and 43,164.19 is: 68,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.31 : 43,164.19 = 43,164.19 : x
  2. Step 2: Convert to fraction form
    27,019.31/43,164.19 = 43,164.19/x
  3. Step 3: Cross multiply
    27,019.31x = 43,164.19 × 43,164.19
  4. Step 4: Simplify right side
    27,019.31x = 1,863,147,082.54
  5. Step 5: Solve for x
    x = 1,863,147,082.54/27,019.31
  6. Step 6: Final answer
    x = 68,956.12

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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.