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Finding the Third Proportional to 18,640 and 29,194

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Solution

The third proportional to 18,640 and 29,194 is: 45,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 29,194 = 29,194 : x
  2. Step 2: Convert to fraction form
    18,640/29,194 = 29,194/x
  3. Step 3: Cross multiply
    18,640x = 29,194 × 29,194
  4. Step 4: Simplify right side
    18,640x = 852,289,636
  5. Step 5: Solve for x
    x = 852,289,636/18,640
  6. Step 6: Final answer
    x = 45,723.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.