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Finding the Third Proportional to 27,360 and 40,268

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Solution

The third proportional to 27,360 and 40,268 is: 59,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360 : 40,268 = 40,268 : x
  2. Step 2: Convert to fraction form
    27,360/40,268 = 40,268/x
  3. Step 3: Cross multiply
    27,360x = 40,268 × 40,268
  4. Step 4: Simplify right side
    27,360x = 1,621,511,824
  5. Step 5: Solve for x
    x = 1,621,511,824/27,360
  6. Step 6: Final answer
    x = 59,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.