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Finding the Third Proportional to 27,020.25 and 40,422.38

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Solution

The third proportional to 27,020.25 and 40,422.38 is: 60,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.25 : 40,422.38 = 40,422.38 : x
  2. Step 2: Convert to fraction form
    27,020.25/40,422.38 = 40,422.38/x
  3. Step 3: Cross multiply
    27,020.25x = 40,422.38 × 40,422.38
  4. Step 4: Simplify right side
    27,020.25x = 1,633,968,400.64
  5. Step 5: Solve for x
    x = 1,633,968,400.64/27,020.25
  6. Step 6: Final answer
    x = 60,471.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.