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Finding the Third Proportional to 27,168 and 35,760

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Solution

The third proportional to 27,168 and 35,760 is: 47,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 35,760 = 35,760 : x
  2. Step 2: Convert to fraction form
    27,168/35,760 = 35,760/x
  3. Step 3: Cross multiply
    27,168x = 35,760 × 35,760
  4. Step 4: Simplify right side
    27,168x = 1,278,777,600
  5. Step 5: Solve for x
    x = 1,278,777,600/27,168
  6. Step 6: Final answer
    x = 47,069.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.