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Finding the Third Proportional to 34,427.25 and 73,878.75

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Solution

The third proportional to 34,427.25 and 73,878.75 is: 158,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427.25 : 73,878.75 = 73,878.75 : x
  2. Step 2: Convert to fraction form
    34,427.25/73,878.75 = 73,878.75/x
  3. Step 3: Cross multiply
    34,427.25x = 73,878.75 × 73,878.75
  4. Step 4: Simplify right side
    34,427.25x = 5,458,069,701.56
  5. Step 5: Solve for x
    x = 5,458,069,701.56/34,427.25
  6. Step 6: Final answer
    x = 158,539.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.