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Finding the Third Proportional to 6,512 and 15,286

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Solution

The third proportional to 6,512 and 15,286 is: 35,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 15,286 = 15,286 : x
  2. Step 2: Convert to fraction form
    6,512/15,286 = 15,286/x
  3. Step 3: Cross multiply
    6,512x = 15,286 × 15,286
  4. Step 4: Simplify right side
    6,512x = 233,661,796
  5. Step 5: Solve for x
    x = 233,661,796/6,512
  6. Step 6: Final answer
    x = 35,881.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.