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Finding the Third Proportional to 7,913.25 and 16,885.85

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Solution

The third proportional to 7,913.25 and 16,885.85 is: 36,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.25 : 16,885.85 = 16,885.85 : x
  2. Step 2: Convert to fraction form
    7,913.25/16,885.85 = 16,885.85/x
  3. Step 3: Cross multiply
    7,913.25x = 16,885.85 × 16,885.85
  4. Step 4: Simplify right side
    7,913.25x = 285,131,982.99
  5. Step 5: Solve for x
    x = 285,131,982.99/7,913.25
  6. Step 6: Final answer
    x = 36,032.22

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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.