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Finding the Third Proportional to 33,882.75 and 52,701.75

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Solution

The third proportional to 33,882.75 and 52,701.75 is: 81,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.75 : 52,701.75 = 52,701.75 : x
  2. Step 2: Convert to fraction form
    33,882.75/52,701.75 = 52,701.75/x
  3. Step 3: Cross multiply
    33,882.75x = 52,701.75 × 52,701.75
  4. Step 4: Simplify right side
    33,882.75x = 2,777,474,453.06
  5. Step 5: Solve for x
    x = 2,777,474,453.06/33,882.75
  6. Step 6: Final answer
    x = 81,973.11

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Why These Related Problems?

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