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Finding the Third Proportional to 35,687.25 and 72,947.25

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Solution

The third proportional to 35,687.25 and 72,947.25 is: 149,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.25 : 72,947.25 = 72,947.25 : x
  2. Step 2: Convert to fraction form
    35,687.25/72,947.25 = 72,947.25/x
  3. Step 3: Cross multiply
    35,687.25x = 72,947.25 × 72,947.25
  4. Step 4: Simplify right side
    35,687.25x = 5,321,301,282.56
  5. Step 5: Solve for x
    x = 5,321,301,282.56/35,687.25
  6. Step 6: Final answer
    x = 149,109.31

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.