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Finding the Third Proportional to 16,500 and 39,880

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Solution

The third proportional to 16,500 and 39,880 is: 96,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 39,880 = 39,880 : x
  2. Step 2: Convert to fraction form
    16,500/39,880 = 39,880/x
  3. Step 3: Cross multiply
    16,500x = 39,880 × 39,880
  4. Step 4: Simplify right side
    16,500x = 1,590,414,400
  5. Step 5: Solve for x
    x = 1,590,414,400/16,500
  6. Step 6: Final answer
    x = 96,388.75

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.