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Finding the Third Proportional to 32,241.50 and 71,021

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Solution

The third proportional to 32,241.50 and 71,021 is: 156,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.50 : 71,021 = 71,021 : x
  2. Step 2: Convert to fraction form
    32,241.50/71,021 = 71,021/x
  3. Step 3: Cross multiply
    32,241.50x = 71,021 × 71,021
  4. Step 4: Simplify right side
    32,241.50x = 5,043,982,441
  5. Step 5: Solve for x
    x = 5,043,982,441/32,241.50
  6. Step 6: Final answer
    x = 156,443.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.