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Finding the Third Proportional to 31,381.50 and 43,992.75

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Solution

The third proportional to 31,381.50 and 43,992.75 is: 61,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.50 : 43,992.75 = 43,992.75 : x
  2. Step 2: Convert to fraction form
    31,381.50/43,992.75 = 43,992.75/x
  3. Step 3: Cross multiply
    31,381.50x = 43,992.75 × 43,992.75
  4. Step 4: Simplify right side
    31,381.50x = 1,935,362,052.56
  5. Step 5: Solve for x
    x = 1,935,362,052.56/31,381.50
  6. Step 6: Final answer
    x = 61,672.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.