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Finding the Third Proportional to 7,856 and 18,164

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Solution

The third proportional to 7,856 and 18,164 is: 41,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 18,164 = 18,164 : x
  2. Step 2: Convert to fraction form
    7,856/18,164 = 18,164/x
  3. Step 3: Cross multiply
    7,856x = 18,164 × 18,164
  4. Step 4: Simplify right side
    7,856x = 329,930,896
  5. Step 5: Solve for x
    x = 329,930,896/7,856
  6. Step 6: Final answer
    x = 41,997.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.