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Finding the Third Proportional to 4,138 and 9,006

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Solution

The third proportional to 4,138 and 9,006 is: 19,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 9,006 = 9,006 : x
  2. Step 2: Convert to fraction form
    4,138/9,006 = 9,006/x
  3. Step 3: Cross multiply
    4,138x = 9,006 × 9,006
  4. Step 4: Simplify right side
    4,138x = 81,108,036
  5. Step 5: Solve for x
    x = 81,108,036/4,138
  6. Step 6: Final answer
    x = 19,600.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.