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Finding the Third Proportional to 27,796 and 40,206

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Solution

The third proportional to 27,796 and 40,206 is: 58,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 40,206 = 40,206 : x
  2. Step 2: Convert to fraction form
    27,796/40,206 = 40,206/x
  3. Step 3: Cross multiply
    27,796x = 40,206 × 40,206
  4. Step 4: Simplify right side
    27,796x = 1,616,522,436
  5. Step 5: Solve for x
    x = 1,616,522,436/27,796
  6. Step 6: Final answer
    x = 58,156.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.