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Finding the Third Proportional to 22,792 and 33,378

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Solution

The third proportional to 22,792 and 33,378 is: 48,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792 : 33,378 = 33,378 : x
  2. Step 2: Convert to fraction form
    22,792/33,378 = 33,378/x
  3. Step 3: Cross multiply
    22,792x = 33,378 × 33,378
  4. Step 4: Simplify right side
    22,792x = 1,114,090,884
  5. Step 5: Solve for x
    x = 1,114,090,884/22,792
  6. Step 6: Final answer
    x = 48,880.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.