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Finding the Third Proportional to 27,675 and 60,006

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Solution

The third proportional to 27,675 and 60,006 is: 130,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 60,006 = 60,006 : x
  2. Step 2: Convert to fraction form
    27,675/60,006 = 60,006/x
  3. Step 3: Cross multiply
    27,675x = 60,006 × 60,006
  4. Step 4: Simplify right side
    27,675x = 3,600,720,036
  5. Step 5: Solve for x
    x = 3,600,720,036/27,675
  6. Step 6: Final answer
    x = 130,107.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.