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Finding the Third Proportional to 9,186 and 18,856

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Solution

The third proportional to 9,186 and 18,856 is: 38,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 18,856 = 18,856 : x
  2. Step 2: Convert to fraction form
    9,186/18,856 = 18,856/x
  3. Step 3: Cross multiply
    9,186x = 18,856 × 18,856
  4. Step 4: Simplify right side
    9,186x = 355,548,736
  5. Step 5: Solve for x
    x = 355,548,736/9,186
  6. Step 6: Final answer
    x = 38,705.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.