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Finding the Third Proportional to 8,284 and 13,326

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Solution

The third proportional to 8,284 and 13,326 is: 21,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 13,326 = 13,326 : x
  2. Step 2: Convert to fraction form
    8,284/13,326 = 13,326/x
  3. Step 3: Cross multiply
    8,284x = 13,326 × 13,326
  4. Step 4: Simplify right side
    8,284x = 177,582,276
  5. Step 5: Solve for x
    x = 177,582,276/8,284
  6. Step 6: Final answer
    x = 21,436.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.