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Finding the Third Proportional to 9,271.97 and 20,617.03

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Solution

The third proportional to 9,271.97 and 20,617.03 is: 45,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.97 : 20,617.03 = 20,617.03 : x
  2. Step 2: Convert to fraction form
    9,271.97/20,617.03 = 20,617.03/x
  3. Step 3: Cross multiply
    9,271.97x = 20,617.03 × 20,617.03
  4. Step 4: Simplify right side
    9,271.97x = 425,061,977.56
  5. Step 5: Solve for x
    x = 425,061,977.56/9,271.97
  6. Step 6: Final answer
    x = 45,843.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.