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Finding the Third Proportional to 9,401.06 and 22,485.09

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Solution

The third proportional to 9,401.06 and 22,485.09 is: 53,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.06 : 22,485.09 = 22,485.09 : x
  2. Step 2: Convert to fraction form
    9,401.06/22,485.09 = 22,485.09/x
  3. Step 3: Cross multiply
    9,401.06x = 22,485.09 × 22,485.09
  4. Step 4: Simplify right side
    9,401.06x = 505,579,440.95
  5. Step 5: Solve for x
    x = 505,579,440.95/9,401.06
  6. Step 6: Final answer
    x = 53,778.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.