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Finding the Third Proportional to 33,400 and 70,036

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Solution

The third proportional to 33,400 and 70,036 is: 146,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 70,036 = 70,036 : x
  2. Step 2: Convert to fraction form
    33,400/70,036 = 70,036/x
  3. Step 3: Cross multiply
    33,400x = 70,036 × 70,036
  4. Step 4: Simplify right side
    33,400x = 4,905,041,296
  5. Step 5: Solve for x
    x = 4,905,041,296/33,400
  6. Step 6: Final answer
    x = 146,857.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.