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Finding the Third Proportional to 33,404 and 52,020

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Solution

The third proportional to 33,404 and 52,020 is: 81,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404 : 52,020 = 52,020 : x
  2. Step 2: Convert to fraction form
    33,404/52,020 = 52,020/x
  3. Step 3: Cross multiply
    33,404x = 52,020 × 52,020
  4. Step 4: Simplify right side
    33,404x = 2,706,080,400
  5. Step 5: Solve for x
    x = 2,706,080,400/33,404
  6. Step 6: Final answer
    x = 81,010.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.