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Finding the Third Proportional to 9,314 and 20,205.25

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Solution

The third proportional to 9,314 and 20,205.25 is: 43,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 20,205.25 = 20,205.25 : x
  2. Step 2: Convert to fraction form
    9,314/20,205.25 = 20,205.25/x
  3. Step 3: Cross multiply
    9,314x = 20,205.25 × 20,205.25
  4. Step 4: Simplify right side
    9,314x = 408,252,127.56
  5. Step 5: Solve for x
    x = 408,252,127.56/9,314
  6. Step 6: Final answer
    x = 43,832.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.