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Finding the Third Proportional to 32,924.25 and 72,966.75

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Solution

The third proportional to 32,924.25 and 72,966.75 is: 161,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.25 : 72,966.75 = 72,966.75 : x
  2. Step 2: Convert to fraction form
    32,924.25/72,966.75 = 72,966.75/x
  3. Step 3: Cross multiply
    32,924.25x = 72,966.75 × 72,966.75
  4. Step 4: Simplify right side
    32,924.25x = 5,324,146,605.56
  5. Step 5: Solve for x
    x = 5,324,146,605.56/32,924.25
  6. Step 6: Final answer
    x = 161,708.97

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.