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Finding the Third Proportional to 33,652 and 72,808

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Solution

The third proportional to 33,652 and 72,808 is: 157,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652 : 72,808 = 72,808 : x
  2. Step 2: Convert to fraction form
    33,652/72,808 = 72,808/x
  3. Step 3: Cross multiply
    33,652x = 72,808 × 72,808
  4. Step 4: Simplify right side
    33,652x = 5,301,004,864
  5. Step 5: Solve for x
    x = 5,301,004,864/33,652
  6. Step 6: Final answer
    x = 157,524.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.