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Finding the Third Proportional to 32,443.03 and 71,274.09

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Solution

The third proportional to 32,443.03 and 71,274.09 is: 156,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.03 : 71,274.09 = 71,274.09 : x
  2. Step 2: Convert to fraction form
    32,443.03/71,274.09 = 71,274.09/x
  3. Step 3: Cross multiply
    32,443.03x = 71,274.09 × 71,274.09
  4. Step 4: Simplify right side
    32,443.03x = 5,079,996,439.88
  5. Step 5: Solve for x
    x = 5,079,996,439.88/32,443.03
  6. Step 6: Final answer
    x = 156,582.05

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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.