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Finding the Third Proportional to 16,000 and 18,880

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Solution

The third proportional to 16,000 and 18,880 is: 22,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000 : 18,880 = 18,880 : x
  2. Step 2: Convert to fraction form
    16,000/18,880 = 18,880/x
  3. Step 3: Cross multiply
    16,000x = 18,880 × 18,880
  4. Step 4: Simplify right side
    16,000x = 356,454,400
  5. Step 5: Solve for x
    x = 356,454,400/16,000
  6. Step 6: Final answer
    x = 22,278.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.