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Finding the Third Proportional to 32,353.17 and 70,761.09

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Solution

The third proportional to 32,353.17 and 70,761.09 is: 154,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.17 : 70,761.09 = 70,761.09 : x
  2. Step 2: Convert to fraction form
    32,353.17/70,761.09 = 70,761.09/x
  3. Step 3: Cross multiply
    32,353.17x = 70,761.09 × 70,761.09
  4. Step 4: Simplify right side
    32,353.17x = 5,007,132,388.70
  5. Step 5: Solve for x
    x = 5,007,132,388.70/32,353.17
  6. Step 6: Final answer
    x = 154,764.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.