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Finding the Third Proportional to 31,161 and 43,723.50

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Solution

The third proportional to 31,161 and 43,723.50 is: 61,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161 : 43,723.50 = 43,723.50 : x
  2. Step 2: Convert to fraction form
    31,161/43,723.50 = 43,723.50/x
  3. Step 3: Cross multiply
    31,161x = 43,723.50 × 43,723.50
  4. Step 4: Simplify right side
    31,161x = 1,911,744,452.25
  5. Step 5: Solve for x
    x = 1,911,744,452.25/31,161
  6. Step 6: Final answer
    x = 61,350.55

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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.