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Finding the Third Proportional to 33,951 and 52,868.25

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Solution

The third proportional to 33,951 and 52,868.25 is: 82,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,951 : 52,868.25 = 52,868.25 : x
  2. Step 2: Convert to fraction form
    33,951/52,868.25 = 52,868.25/x
  3. Step 3: Cross multiply
    33,951x = 52,868.25 × 52,868.25
  4. Step 4: Simplify right side
    33,951x = 2,795,051,858.06
  5. Step 5: Solve for x
    x = 2,795,051,858.06/33,951
  6. Step 6: Final answer
    x = 82,326.05

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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.