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Finding the Third Proportional to 33,945.75 and 52,965.56

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Solution

The third proportional to 33,945.75 and 52,965.56 is: 82,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.75 : 52,965.56 = 52,965.56 : x
  2. Step 2: Convert to fraction form
    33,945.75/52,965.56 = 52,965.56/x
  3. Step 3: Cross multiply
    33,945.75x = 52,965.56 × 52,965.56
  4. Step 4: Simplify right side
    33,945.75x = 2,805,350,810.94
  5. Step 5: Solve for x
    x = 2,805,350,810.94/33,945.75
  6. Step 6: Final answer
    x = 82,642.18

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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.