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Finding the Third Proportional to 8,291 and 17,284

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Solution

The third proportional to 8,291 and 17,284 is: 36,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291 : 17,284 = 17,284 : x
  2. Step 2: Convert to fraction form
    8,291/17,284 = 17,284/x
  3. Step 3: Cross multiply
    8,291x = 17,284 × 17,284
  4. Step 4: Simplify right side
    8,291x = 298,736,656
  5. Step 5: Solve for x
    x = 298,736,656/8,291
  6. Step 6: Final answer
    x = 36,031.44

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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.