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Finding the Third Proportional to 37,961 and 58,980

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Solution

The third proportional to 37,961 and 58,980 is: 91,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,961 : 58,980 = 58,980 : x
  2. Step 2: Convert to fraction form
    37,961/58,980 = 58,980/x
  3. Step 3: Cross multiply
    37,961x = 58,980 × 58,980
  4. Step 4: Simplify right side
    37,961x = 3,478,640,400
  5. Step 5: Solve for x
    x = 3,478,640,400/37,961
  6. Step 6: Final answer
    x = 91,637.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.