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Finding the Third Proportional to 32,882.20 and 71,019.28

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Solution

The third proportional to 32,882.20 and 71,019.28 is: 153,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.20 : 71,019.28 = 71,019.28 : x
  2. Step 2: Convert to fraction form
    32,882.20/71,019.28 = 71,019.28/x
  3. Step 3: Cross multiply
    32,882.20x = 71,019.28 × 71,019.28
  4. Step 4: Simplify right side
    32,882.20x = 5,043,738,309.27
  5. Step 5: Solve for x
    x = 5,043,738,309.27/32,882.20
  6. Step 6: Final answer
    x = 153,388.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.