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Finding the Third Proportional to 9,600.75 and 20,166.75

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Solution

The third proportional to 9,600.75 and 20,166.75 is: 42,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 20,166.75 = 20,166.75 : x
  2. Step 2: Convert to fraction form
    9,600.75/20,166.75 = 20,166.75/x
  3. Step 3: Cross multiply
    9,600.75x = 20,166.75 × 20,166.75
  4. Step 4: Simplify right side
    9,600.75x = 406,697,805.56
  5. Step 5: Solve for x
    x = 406,697,805.56/9,600.75
  6. Step 6: Final answer
    x = 42,361.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.