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Finding the Third Proportional to 27,006 and 42,268

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Solution

The third proportional to 27,006 and 42,268 is: 66,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 42,268 = 42,268 : x
  2. Step 2: Convert to fraction form
    27,006/42,268 = 42,268/x
  3. Step 3: Cross multiply
    27,006x = 42,268 × 42,268
  4. Step 4: Simplify right side
    27,006x = 1,786,583,824
  5. Step 5: Solve for x
    x = 1,786,583,824/27,006
  6. Step 6: Final answer
    x = 66,155.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.