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Finding the Third Proportional to 15,431 and 33,199

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Solution

The third proportional to 15,431 and 33,199 is: 71,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431 : 33,199 = 33,199 : x
  2. Step 2: Convert to fraction form
    15,431/33,199 = 33,199/x
  3. Step 3: Cross multiply
    15,431x = 33,199 × 33,199
  4. Step 4: Simplify right side
    15,431x = 1,102,173,601
  5. Step 5: Solve for x
    x = 1,102,173,601/15,431
  6. Step 6: Final answer
    x = 71,425.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.