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Finding the Third Proportional to 27,018 and 54,792

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Solution

The third proportional to 27,018 and 54,792 is: 111,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 54,792 = 54,792 : x
  2. Step 2: Convert to fraction form
    27,018/54,792 = 54,792/x
  3. Step 3: Cross multiply
    27,018x = 54,792 × 54,792
  4. Step 4: Simplify right side
    27,018x = 3,002,163,264
  5. Step 5: Solve for x
    x = 3,002,163,264/27,018
  6. Step 6: Final answer
    x = 111,117.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.