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Finding the Third Proportional to 8,294 and 18,206

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Solution

The third proportional to 8,294 and 18,206 is: 39,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 18,206 = 18,206 : x
  2. Step 2: Convert to fraction form
    8,294/18,206 = 18,206/x
  3. Step 3: Cross multiply
    8,294x = 18,206 × 18,206
  4. Step 4: Simplify right side
    8,294x = 331,458,436
  5. Step 5: Solve for x
    x = 331,458,436/8,294
  6. Step 6: Final answer
    x = 39,963.64

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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.