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Finding the Third Proportional to 5,986 and 9,469

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Solution

The third proportional to 5,986 and 9,469 is: 14,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 9,469 = 9,469 : x
  2. Step 2: Convert to fraction form
    5,986/9,469 = 9,469/x
  3. Step 3: Cross multiply
    5,986x = 9,469 × 9,469
  4. Step 4: Simplify right side
    5,986x = 89,661,961
  5. Step 5: Solve for x
    x = 89,661,961/5,986
  6. Step 6: Final answer
    x = 14,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.