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Finding the Third Proportional to 9,126 and 20,081.25

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Solution

The third proportional to 9,126 and 20,081.25 is: 44,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 20,081.25 = 20,081.25 : x
  2. Step 2: Convert to fraction form
    9,126/20,081.25 = 20,081.25/x
  3. Step 3: Cross multiply
    9,126x = 20,081.25 × 20,081.25
  4. Step 4: Simplify right side
    9,126x = 403,256,601.56
  5. Step 5: Solve for x
    x = 403,256,601.56/9,126
  6. Step 6: Final answer
    x = 44,187.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.