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Finding the Third Proportional to 47,064 and 67,996

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Solution

The third proportional to 47,064 and 67,996 is: 98,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064 : 67,996 = 67,996 : x
  2. Step 2: Convert to fraction form
    47,064/67,996 = 67,996/x
  3. Step 3: Cross multiply
    47,064x = 67,996 × 67,996
  4. Step 4: Simplify right side
    47,064x = 4,623,456,016
  5. Step 5: Solve for x
    x = 4,623,456,016/47,064
  6. Step 6: Final answer
    x = 98,237.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.