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Finding the Third Proportional to 7,107.75 and 16,201.69

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Solution

The third proportional to 7,107.75 and 16,201.69 is: 36,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.75 : 16,201.69 = 16,201.69 : x
  2. Step 2: Convert to fraction form
    7,107.75/16,201.69 = 16,201.69/x
  3. Step 3: Cross multiply
    7,107.75x = 16,201.69 × 16,201.69
  4. Step 4: Simplify right side
    7,107.75x = 262,494,677.85
  5. Step 5: Solve for x
    x = 262,494,677.85/7,107.75
  6. Step 6: Final answer
    x = 36,930.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.