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Finding the Third Proportional to 39,215 and 59,997

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Solution

The third proportional to 39,215 and 59,997 is: 91,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,215 : 59,997 = 59,997 : x
  2. Step 2: Convert to fraction form
    39,215/59,997 = 59,997/x
  3. Step 3: Cross multiply
    39,215x = 59,997 × 59,997
  4. Step 4: Simplify right side
    39,215x = 3,599,640,009
  5. Step 5: Solve for x
    x = 3,599,640,009/39,215
  6. Step 6: Final answer
    x = 91,792.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.