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Finding the Third Proportional to 33,700 and 72,989

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Solution

The third proportional to 33,700 and 72,989 is: 158,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700 : 72,989 = 72,989 : x
  2. Step 2: Convert to fraction form
    33,700/72,989 = 72,989/x
  3. Step 3: Cross multiply
    33,700x = 72,989 × 72,989
  4. Step 4: Simplify right side
    33,700x = 5,327,394,121
  5. Step 5: Solve for x
    x = 5,327,394,121/33,700
  6. Step 6: Final answer
    x = 158,082.91

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Why These Related Problems?

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