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Finding the Third Proportional to 33,711.75 and 52,881.75

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Solution

The third proportional to 33,711.75 and 52,881.75 is: 82,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711.75 : 52,881.75 = 52,881.75 : x
  2. Step 2: Convert to fraction form
    33,711.75/52,881.75 = 52,881.75/x
  3. Step 3: Cross multiply
    33,711.75x = 52,881.75 × 52,881.75
  4. Step 4: Simplify right side
    33,711.75x = 2,796,479,483.06
  5. Step 5: Solve for x
    x = 2,796,479,483.06/33,711.75
  6. Step 6: Final answer
    x = 82,952.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.