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Finding the Third Proportional to 33,995 and 72,909

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Solution

The third proportional to 33,995 and 72,909 is: 156,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,995 : 72,909 = 72,909 : x
  2. Step 2: Convert to fraction form
    33,995/72,909 = 72,909/x
  3. Step 3: Cross multiply
    33,995x = 72,909 × 72,909
  4. Step 4: Simplify right side
    33,995x = 5,315,722,281
  5. Step 5: Solve for x
    x = 5,315,722,281/33,995
  6. Step 6: Final answer
    x = 156,367.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.