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Finding the Third Proportional to 8,638.31 and 18,813.09

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Solution

The third proportional to 8,638.31 and 18,813.09 is: 40,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.31 : 18,813.09 = 18,813.09 : x
  2. Step 2: Convert to fraction form
    8,638.31/18,813.09 = 18,813.09/x
  3. Step 3: Cross multiply
    8,638.31x = 18,813.09 × 18,813.09
  4. Step 4: Simplify right side
    8,638.31x = 353,932,496.45
  5. Step 5: Solve for x
    x = 353,932,496.45/8,638.31
  6. Step 6: Final answer
    x = 40,972.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.