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Finding the Third Proportional to 6,285 and 13,605

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Solution

The third proportional to 6,285 and 13,605 is: 29,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 13,605 = 13,605 : x
  2. Step 2: Convert to fraction form
    6,285/13,605 = 13,605/x
  3. Step 3: Cross multiply
    6,285x = 13,605 × 13,605
  4. Step 4: Simplify right side
    6,285x = 185,096,025
  5. Step 5: Solve for x
    x = 185,096,025/6,285
  6. Step 6: Final answer
    x = 29,450.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.