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Finding the Third Proportional to 6,945.75 and 9,431.44

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Solution

The third proportional to 6,945.75 and 9,431.44 is: 12,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.75 : 9,431.44 = 9,431.44 : x
  2. Step 2: Convert to fraction form
    6,945.75/9,431.44 = 9,431.44/x
  3. Step 3: Cross multiply
    6,945.75x = 9,431.44 × 9,431.44
  4. Step 4: Simplify right side
    6,945.75x = 88,952,013.32
  5. Step 5: Solve for x
    x = 88,952,013.32/6,945.75
  6. Step 6: Final answer
    x = 12,806.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.