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Finding the Third Proportional to 44,500 and 68,880

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Solution

The third proportional to 44,500 and 68,880 is: 106,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,500 : 68,880 = 68,880 : x
  2. Step 2: Convert to fraction form
    44,500/68,880 = 68,880/x
  3. Step 3: Cross multiply
    44,500x = 68,880 × 68,880
  4. Step 4: Simplify right side
    44,500x = 4,744,454,400
  5. Step 5: Solve for x
    x = 4,744,454,400/44,500
  6. Step 6: Final answer
    x = 106,616.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.