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Finding the Third Proportional to 47,968 and 72,621

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Solution

The third proportional to 47,968 and 72,621 is: 109,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,968 : 72,621 = 72,621 : x
  2. Step 2: Convert to fraction form
    47,968/72,621 = 72,621/x
  3. Step 3: Cross multiply
    47,968x = 72,621 × 72,621
  4. Step 4: Simplify right side
    47,968x = 5,273,809,641
  5. Step 5: Solve for x
    x = 5,273,809,641/47,968
  6. Step 6: Final answer
    x = 109,944.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.