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Finding the Third Proportional to 3,315 and 8,247

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Solution

The third proportional to 3,315 and 8,247 is: 20,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315 : 8,247 = 8,247 : x
  2. Step 2: Convert to fraction form
    3,315/8,247 = 8,247/x
  3. Step 3: Cross multiply
    3,315x = 8,247 × 8,247
  4. Step 4: Simplify right side
    3,315x = 68,013,009
  5. Step 5: Solve for x
    x = 68,013,009/3,315
  6. Step 6: Final answer
    x = 20,516.74

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.