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Finding the Third Proportional to 9,282.09 and 21,889.41

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Solution

The third proportional to 9,282.09 and 21,889.41 is: 51,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.09 : 21,889.41 = 21,889.41 : x
  2. Step 2: Convert to fraction form
    9,282.09/21,889.41 = 21,889.41/x
  3. Step 3: Cross multiply
    9,282.09x = 21,889.41 × 21,889.41
  4. Step 4: Simplify right side
    9,282.09x = 479,146,105.98
  5. Step 5: Solve for x
    x = 479,146,105.98/9,282.09
  6. Step 6: Final answer
    x = 51,620.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.