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Finding the Third Proportional to 37,561.50 and 58,131

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Solution

The third proportional to 37,561.50 and 58,131 is: 89,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,561.50 : 58,131 = 58,131 : x
  2. Step 2: Convert to fraction form
    37,561.50/58,131 = 58,131/x
  3. Step 3: Cross multiply
    37,561.50x = 58,131 × 58,131
  4. Step 4: Simplify right side
    37,561.50x = 3,379,213,161
  5. Step 5: Solve for x
    x = 3,379,213,161/37,561.50
  6. Step 6: Final answer
    x = 89,964.81

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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.