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Finding the Third Proportional to 6,000 and 12,244

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Solution

The third proportional to 6,000 and 12,244 is: 24,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000 : 12,244 = 12,244 : x
  2. Step 2: Convert to fraction form
    6,000/12,244 = 12,244/x
  3. Step 3: Cross multiply
    6,000x = 12,244 × 12,244
  4. Step 4: Simplify right side
    6,000x = 149,915,536
  5. Step 5: Solve for x
    x = 149,915,536/6,000
  6. Step 6: Final answer
    x = 24,985.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.