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Finding the Third Proportional to 8,296 and 17,258

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Solution

The third proportional to 8,296 and 17,258 is: 35,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296 : 17,258 = 17,258 : x
  2. Step 2: Convert to fraction form
    8,296/17,258 = 17,258/x
  3. Step 3: Cross multiply
    8,296x = 17,258 × 17,258
  4. Step 4: Simplify right side
    8,296x = 297,838,564
  5. Step 5: Solve for x
    x = 297,838,564/8,296
  6. Step 6: Final answer
    x = 35,901.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.