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Finding the Third Proportional to 9,687.09 and 20,923.31

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Solution

The third proportional to 9,687.09 and 20,923.31 is: 45,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.09 : 20,923.31 = 20,923.31 : x
  2. Step 2: Convert to fraction form
    9,687.09/20,923.31 = 20,923.31/x
  3. Step 3: Cross multiply
    9,687.09x = 20,923.31 × 20,923.31
  4. Step 4: Simplify right side
    9,687.09x = 437,785,005.97
  5. Step 5: Solve for x
    x = 437,785,005.97/9,687.09
  6. Step 6: Final answer
    x = 45,192.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.