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Finding the Third Proportional to 27,168 and 40,933

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Solution

The third proportional to 27,168 and 40,933 is: 61,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 40,933 = 40,933 : x
  2. Step 2: Convert to fraction form
    27,168/40,933 = 40,933/x
  3. Step 3: Cross multiply
    27,168x = 40,933 × 40,933
  4. Step 4: Simplify right side
    27,168x = 1,675,510,489
  5. Step 5: Solve for x
    x = 1,675,510,489/27,168
  6. Step 6: Final answer
    x = 61,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.