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Finding the Third Proportional to 15,247 and 33,164

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Solution

The third proportional to 15,247 and 33,164 is: 72,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,247 : 33,164 = 33,164 : x
  2. Step 2: Convert to fraction form
    15,247/33,164 = 33,164/x
  3. Step 3: Cross multiply
    15,247x = 33,164 × 33,164
  4. Step 4: Simplify right side
    15,247x = 1,099,850,896
  5. Step 5: Solve for x
    x = 1,099,850,896/15,247
  6. Step 6: Final answer
    x = 72,135.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.