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Finding the Third Proportional to 24,190.31 and 37,379.06

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Solution

The third proportional to 24,190.31 and 37,379.06 is: 57,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.31 : 37,379.06 = 37,379.06 : x
  2. Step 2: Convert to fraction form
    24,190.31/37,379.06 = 37,379.06/x
  3. Step 3: Cross multiply
    24,190.31x = 37,379.06 × 37,379.06
  4. Step 4: Simplify right side
    24,190.31x = 1,397,194,313.38
  5. Step 5: Solve for x
    x = 1,397,194,313.38/24,190.31
  6. Step 6: Final answer
    x = 57,758.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.