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Finding the Third Proportional to 9,255 and 20,201

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Solution

The third proportional to 9,255 and 20,201 is: 44,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255 : 20,201 = 20,201 : x
  2. Step 2: Convert to fraction form
    9,255/20,201 = 20,201/x
  3. Step 3: Cross multiply
    9,255x = 20,201 × 20,201
  4. Step 4: Simplify right side
    9,255x = 408,080,401
  5. Step 5: Solve for x
    x = 408,080,401/9,255
  6. Step 6: Final answer
    x = 44,092.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.