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Finding the Third Proportional to 26,578 and 36,111

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Solution

The third proportional to 26,578 and 36,111 is: 49,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578 : 36,111 = 36,111 : x
  2. Step 2: Convert to fraction form
    26,578/36,111 = 36,111/x
  3. Step 3: Cross multiply
    26,578x = 36,111 × 36,111
  4. Step 4: Simplify right side
    26,578x = 1,304,004,321
  5. Step 5: Solve for x
    x = 1,304,004,321/26,578
  6. Step 6: Final answer
    x = 49,063.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.