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Finding the Third Proportional to 3,383 and 8,015

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Solution

The third proportional to 3,383 and 8,015 is: 18,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383 : 8,015 = 8,015 : x
  2. Step 2: Convert to fraction form
    3,383/8,015 = 8,015/x
  3. Step 3: Cross multiply
    3,383x = 8,015 × 8,015
  4. Step 4: Simplify right side
    3,383x = 64,240,225
  5. Step 5: Solve for x
    x = 64,240,225/3,383
  6. Step 6: Final answer
    x = 18,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.