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Finding the Third Proportional to 6,227 and 13,615

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Solution

The third proportional to 6,227 and 13,615 is: 29,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227 : 13,615 = 13,615 : x
  2. Step 2: Convert to fraction form
    6,227/13,615 = 13,615/x
  3. Step 3: Cross multiply
    6,227x = 13,615 × 13,615
  4. Step 4: Simplify right side
    6,227x = 185,368,225
  5. Step 5: Solve for x
    x = 185,368,225/6,227
  6. Step 6: Final answer
    x = 29,768.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.