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Finding the Third Proportional to 33,812.25 and 52,631.75

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Solution

The third proportional to 33,812.25 and 52,631.75 is: 81,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.25 : 52,631.75 = 52,631.75 : x
  2. Step 2: Convert to fraction form
    33,812.25/52,631.75 = 52,631.75/x
  3. Step 3: Cross multiply
    33,812.25x = 52,631.75 × 52,631.75
  4. Step 4: Simplify right side
    33,812.25x = 2,770,101,108.06
  5. Step 5: Solve for x
    x = 2,770,101,108.06/33,812.25
  6. Step 6: Final answer
    x = 81,925.96

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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.