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Finding the Third Proportional to 37,179 and 57,933

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Solution

The third proportional to 37,179 and 57,933 is: 90,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,179 : 57,933 = 57,933 : x
  2. Step 2: Convert to fraction form
    37,179/57,933 = 57,933/x
  3. Step 3: Cross multiply
    37,179x = 57,933 × 57,933
  4. Step 4: Simplify right side
    37,179x = 3,356,232,489
  5. Step 5: Solve for x
    x = 3,356,232,489/37,179
  6. Step 6: Final answer
    x = 90,272.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.