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Finding the Third Proportional to 8,457 and 18,161

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Solution

The third proportional to 8,457 and 18,161 is: 38,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 18,161 = 18,161 : x
  2. Step 2: Convert to fraction form
    8,457/18,161 = 18,161/x
  3. Step 3: Cross multiply
    8,457x = 18,161 × 18,161
  4. Step 4: Simplify right side
    8,457x = 329,821,921
  5. Step 5: Solve for x
    x = 329,821,921/8,457
  6. Step 6: Final answer
    x = 38,999.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.