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Finding the Third Proportional to 20,792 and 27,867

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Solution

The third proportional to 20,792 and 27,867 is: 37,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792 : 27,867 = 27,867 : x
  2. Step 2: Convert to fraction form
    20,792/27,867 = 27,867/x
  3. Step 3: Cross multiply
    20,792x = 27,867 × 27,867
  4. Step 4: Simplify right side
    20,792x = 776,569,689
  5. Step 5: Solve for x
    x = 776,569,689/20,792
  6. Step 6: Final answer
    x = 37,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.