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Finding the Third Proportional to 17,097.75 and 25,874.44

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Solution

The third proportional to 17,097.75 and 25,874.44 is: 39,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.75 : 25,874.44 = 25,874.44 : x
  2. Step 2: Convert to fraction form
    17,097.75/25,874.44 = 25,874.44/x
  3. Step 3: Cross multiply
    17,097.75x = 25,874.44 × 25,874.44
  4. Step 4: Simplify right side
    17,097.75x = 669,486,515.94
  5. Step 5: Solve for x
    x = 669,486,515.94/17,097.75
  6. Step 6: Final answer
    x = 39,156.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.