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Finding the Third Proportional to 17,137 and 25,705

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Solution

The third proportional to 17,137 and 25,705 is: 38,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137 : 25,705 = 25,705 : x
  2. Step 2: Convert to fraction form
    17,137/25,705 = 25,705/x
  3. Step 3: Cross multiply
    17,137x = 25,705 × 25,705
  4. Step 4: Simplify right side
    17,137x = 660,747,025
  5. Step 5: Solve for x
    x = 660,747,025/17,137
  6. Step 6: Final answer
    x = 38,556.75

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