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Finding the Third Proportional to 10,638 and 22,620.94

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Solution

The third proportional to 10,638 and 22,620.94 is: 48,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 22,620.94 = 22,620.94 : x
  2. Step 2: Convert to fraction form
    10,638/22,620.94 = 22,620.94/x
  3. Step 3: Cross multiply
    10,638x = 22,620.94 × 22,620.94
  4. Step 4: Simplify right side
    10,638x = 511,706,813.38
  5. Step 5: Solve for x
    x = 511,706,813.38/10,638
  6. Step 6: Final answer
    x = 48,101.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.