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Finding the Third Proportional to 32,770.50 and 69,833.25

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Solution

The third proportional to 32,770.50 and 69,833.25 is: 148,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.50 : 69,833.25 = 69,833.25 : x
  2. Step 2: Convert to fraction form
    32,770.50/69,833.25 = 69,833.25/x
  3. Step 3: Cross multiply
    32,770.50x = 69,833.25 × 69,833.25
  4. Step 4: Simplify right side
    32,770.50x = 4,876,682,805.56
  5. Step 5: Solve for x
    x = 4,876,682,805.56/32,770.50
  6. Step 6: Final answer
    x = 148,813.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.