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Finding the Third Proportional to 6,288 and 13,831

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Solution

The third proportional to 6,288 and 13,831 is: 30,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 13,831 = 13,831 : x
  2. Step 2: Convert to fraction form
    6,288/13,831 = 13,831/x
  3. Step 3: Cross multiply
    6,288x = 13,831 × 13,831
  4. Step 4: Simplify right side
    6,288x = 191,296,561
  5. Step 5: Solve for x
    x = 191,296,561/6,288
  6. Step 6: Final answer
    x = 30,422.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.