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Finding the Third Proportional to 37,794 and 55,350

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Solution

The third proportional to 37,794 and 55,350 is: 81,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794 : 55,350 = 55,350 : x
  2. Step 2: Convert to fraction form
    37,794/55,350 = 55,350/x
  3. Step 3: Cross multiply
    37,794x = 55,350 × 55,350
  4. Step 4: Simplify right side
    37,794x = 3,063,622,500
  5. Step 5: Solve for x
    x = 3,063,622,500/37,794
  6. Step 6: Final answer
    x = 81,061.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.