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Finding the Third Proportional to 37,268 and 55,395

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Solution

The third proportional to 37,268 and 55,395 is: 82,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,268 : 55,395 = 55,395 : x
  2. Step 2: Convert to fraction form
    37,268/55,395 = 55,395/x
  3. Step 3: Cross multiply
    37,268x = 55,395 × 55,395
  4. Step 4: Simplify right side
    37,268x = 3,068,606,025
  5. Step 5: Solve for x
    x = 3,068,606,025/37,268
  6. Step 6: Final answer
    x = 82,338.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.