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Finding the Third Proportional to 17,504 and 26,195

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Solution

The third proportional to 17,504 and 26,195 is: 39,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504 : 26,195 = 26,195 : x
  2. Step 2: Convert to fraction form
    17,504/26,195 = 26,195/x
  3. Step 3: Cross multiply
    17,504x = 26,195 × 26,195
  4. Step 4: Simplify right side
    17,504x = 686,178,025
  5. Step 5: Solve for x
    x = 686,178,025/17,504
  6. Step 6: Final answer
    x = 39,201.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.