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Finding the Third Proportional to 32,001.75 and 50,270.63

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Solution

The third proportional to 32,001.75 and 50,270.63 is: 78,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.75 : 50,270.63 = 50,270.63 : x
  2. Step 2: Convert to fraction form
    32,001.75/50,270.63 = 50,270.63/x
  3. Step 3: Cross multiply
    32,001.75x = 50,270.63 × 50,270.63
  4. Step 4: Simplify right side
    32,001.75x = 2,527,135,737.89
  5. Step 5: Solve for x
    x = 2,527,135,737.89/32,001.75
  6. Step 6: Final answer
    x = 78,968.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.