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Finding the Third Proportional to 19,527.75 and 31,441.50

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Solution

The third proportional to 19,527.75 and 31,441.50 is: 50,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.75 : 31,441.50 = 31,441.50 : x
  2. Step 2: Convert to fraction form
    19,527.75/31,441.50 = 31,441.50/x
  3. Step 3: Cross multiply
    19,527.75x = 31,441.50 × 31,441.50
  4. Step 4: Simplify right side
    19,527.75x = 988,567,922.25
  5. Step 5: Solve for x
    x = 988,567,922.25/19,527.75
  6. Step 6: Final answer
    x = 50,623.75

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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.