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Finding the Third Proportional to 6,957 and 11,197.50

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Solution

The third proportional to 6,957 and 11,197.50 is: 18,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957 : 11,197.50 = 11,197.50 : x
  2. Step 2: Convert to fraction form
    6,957/11,197.50 = 11,197.50/x
  3. Step 3: Cross multiply
    6,957x = 11,197.50 × 11,197.50
  4. Step 4: Simplify right side
    6,957x = 125,384,006.25
  5. Step 5: Solve for x
    x = 125,384,006.25/6,957
  6. Step 6: Final answer
    x = 18,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.