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Finding the Third Proportional to 17,884 and 39,292

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Solution

The third proportional to 17,884 and 39,292 is: 86,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884 : 39,292 = 39,292 : x
  2. Step 2: Convert to fraction form
    17,884/39,292 = 39,292/x
  3. Step 3: Cross multiply
    17,884x = 39,292 × 39,292
  4. Step 4: Simplify right side
    17,884x = 1,543,861,264
  5. Step 5: Solve for x
    x = 1,543,861,264/17,884
  6. Step 6: Final answer
    x = 86,326.40

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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.