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Finding the Third Proportional to 33,362 and 70,972

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Solution

The third proportional to 33,362 and 70,972 is: 150,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,362 : 70,972 = 70,972 : x
  2. Step 2: Convert to fraction form
    33,362/70,972 = 70,972/x
  3. Step 3: Cross multiply
    33,362x = 70,972 × 70,972
  4. Step 4: Simplify right side
    33,362x = 5,037,024,784
  5. Step 5: Solve for x
    x = 5,037,024,784/33,362
  6. Step 6: Final answer
    x = 150,980.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.