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Finding the Third Proportional to 9,127.69 and 20,238.61

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Solution

The third proportional to 9,127.69 and 20,238.61 is: 44,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.69 : 20,238.61 = 20,238.61 : x
  2. Step 2: Convert to fraction form
    9,127.69/20,238.61 = 20,238.61/x
  3. Step 3: Cross multiply
    9,127.69x = 20,238.61 × 20,238.61
  4. Step 4: Simplify right side
    9,127.69x = 409,601,309.43
  5. Step 5: Solve for x
    x = 409,601,309.43/9,127.69
  6. Step 6: Final answer
    x = 44,874.60

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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.