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Finding the Third Proportional to 9,600.33 and 19,967.20

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Solution

The third proportional to 9,600.33 and 19,967.20 is: 41,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.33 : 19,967.20 = 19,967.20 : x
  2. Step 2: Convert to fraction form
    9,600.33/19,967.20 = 19,967.20/x
  3. Step 3: Cross multiply
    9,600.33x = 19,967.20 × 19,967.20
  4. Step 4: Simplify right side
    9,600.33x = 398,689,200.64
  5. Step 5: Solve for x
    x = 398,689,200.64/9,600.33
  6. Step 6: Final answer
    x = 41,528.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.