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Finding the Third Proportional to 5,294 and 8,227

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Solution

The third proportional to 5,294 and 8,227 is: 12,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 8,227 = 8,227 : x
  2. Step 2: Convert to fraction form
    5,294/8,227 = 8,227/x
  3. Step 3: Cross multiply
    5,294x = 8,227 × 8,227
  4. Step 4: Simplify right side
    5,294x = 67,683,529
  5. Step 5: Solve for x
    x = 67,683,529/5,294
  6. Step 6: Final answer
    x = 12,784.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.