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Finding the Third Proportional to 4,005 and 9,627

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Solution

The third proportional to 4,005 and 9,627 is: 23,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 9,627 = 9,627 : x
  2. Step 2: Convert to fraction form
    4,005/9,627 = 9,627/x
  3. Step 3: Cross multiply
    4,005x = 9,627 × 9,627
  4. Step 4: Simplify right side
    4,005x = 92,679,129
  5. Step 5: Solve for x
    x = 92,679,129/4,005
  6. Step 6: Final answer
    x = 23,140.86

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.