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Finding the Third Proportional to 4,186 and 8,504

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Solution

The third proportional to 4,186 and 8,504 is: 17,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 8,504 = 8,504 : x
  2. Step 2: Convert to fraction form
    4,186/8,504 = 8,504/x
  3. Step 3: Cross multiply
    4,186x = 8,504 × 8,504
  4. Step 4: Simplify right side
    4,186x = 72,318,016
  5. Step 5: Solve for x
    x = 72,318,016/4,186
  6. Step 6: Final answer
    x = 17,276.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.