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Finding the Third Proportional to 19,581.75 and 31,524.75

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Solution

The third proportional to 19,581.75 and 31,524.75 is: 50,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 31,524.75 = 31,524.75 : x
  2. Step 2: Convert to fraction form
    19,581.75/31,524.75 = 31,524.75/x
  3. Step 3: Cross multiply
    19,581.75x = 31,524.75 × 31,524.75
  4. Step 4: Simplify right side
    19,581.75x = 993,809,862.56
  5. Step 5: Solve for x
    x = 993,809,862.56/19,581.75
  6. Step 6: Final answer
    x = 50,751.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.