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Finding the Third Proportional to 18,844 and 29,195

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Solution

The third proportional to 18,844 and 29,195 is: 45,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,844 : 29,195 = 29,195 : x
  2. Step 2: Convert to fraction form
    18,844/29,195 = 29,195/x
  3. Step 3: Cross multiply
    18,844x = 29,195 × 29,195
  4. Step 4: Simplify right side
    18,844x = 852,348,025
  5. Step 5: Solve for x
    x = 852,348,025/18,844
  6. Step 6: Final answer
    x = 45,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.