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Finding the Third Proportional to 9,363.09 and 21,790.27

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Solution

The third proportional to 9,363.09 and 21,790.27 is: 50,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.09 : 21,790.27 = 21,790.27 : x
  2. Step 2: Convert to fraction form
    9,363.09/21,790.27 = 21,790.27/x
  3. Step 3: Cross multiply
    9,363.09x = 21,790.27 × 21,790.27
  4. Step 4: Simplify right side
    9,363.09x = 474,815,676.01
  5. Step 5: Solve for x
    x = 474,815,676.01/9,363.09
  6. Step 6: Final answer
    x = 50,711.41

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.