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Finding the Third Proportional to 33,230.25 and 53,304.75

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Solution

The third proportional to 33,230.25 and 53,304.75 is: 85,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.25 : 53,304.75 = 53,304.75 : x
  2. Step 2: Convert to fraction form
    33,230.25/53,304.75 = 53,304.75/x
  3. Step 3: Cross multiply
    33,230.25x = 53,304.75 × 53,304.75
  4. Step 4: Simplify right side
    33,230.25x = 2,841,396,372.56
  5. Step 5: Solve for x
    x = 2,841,396,372.56/33,230.25
  6. Step 6: Final answer
    x = 85,506.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.