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Finding the Third Proportional to 6,225 and 8,453

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Solution

The third proportional to 6,225 and 8,453 is: 11,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225 : 8,453 = 8,453 : x
  2. Step 2: Convert to fraction form
    6,225/8,453 = 8,453/x
  3. Step 3: Cross multiply
    6,225x = 8,453 × 8,453
  4. Step 4: Simplify right side
    6,225x = 71,453,209
  5. Step 5: Solve for x
    x = 71,453,209/6,225
  6. Step 6: Final answer
    x = 11,478.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.