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Finding the Third Proportional to 9,296 and 13,634

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Solution

The third proportional to 9,296 and 13,634 is: 19,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 13,634 = 13,634 : x
  2. Step 2: Convert to fraction form
    9,296/13,634 = 13,634/x
  3. Step 3: Cross multiply
    9,296x = 13,634 × 13,634
  4. Step 4: Simplify right side
    9,296x = 185,885,956
  5. Step 5: Solve for x
    x = 185,885,956/9,296
  6. Step 6: Final answer
    x = 19,996.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.