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Finding the Third Proportional to 8,684 and 13,471

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Solution

The third proportional to 8,684 and 13,471 is: 20,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684 : 13,471 = 13,471 : x
  2. Step 2: Convert to fraction form
    8,684/13,471 = 13,471/x
  3. Step 3: Cross multiply
    8,684x = 13,471 × 13,471
  4. Step 4: Simplify right side
    8,684x = 181,467,841
  5. Step 5: Solve for x
    x = 181,467,841/8,684
  6. Step 6: Final answer
    x = 20,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.