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Finding the Third Proportional to 33,447 and 72,660

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Solution

The third proportional to 33,447 and 72,660 is: 157,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447 : 72,660 = 72,660 : x
  2. Step 2: Convert to fraction form
    33,447/72,660 = 72,660/x
  3. Step 3: Cross multiply
    33,447x = 72,660 × 72,660
  4. Step 4: Simplify right side
    33,447x = 5,279,475,600
  5. Step 5: Solve for x
    x = 5,279,475,600/33,447
  6. Step 6: Final answer
    x = 157,846.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.