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Finding the Third Proportional to 37,463.05 and 80,269.73

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Solution

The third proportional to 37,463.05 and 80,269.73 is: 171,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463.05 : 80,269.73 = 80,269.73 : x
  2. Step 2: Convert to fraction form
    37,463.05/80,269.73 = 80,269.73/x
  3. Step 3: Cross multiply
    37,463.05x = 80,269.73 × 80,269.73
  4. Step 4: Simplify right side
    37,463.05x = 6,443,230,256.63
  5. Step 5: Solve for x
    x = 6,443,230,256.63/37,463.05
  6. Step 6: Final answer
    x = 171,988.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.