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Finding the Third Proportional to 17,286 and 25,943

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Solution

The third proportional to 17,286 and 25,943 is: 38,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286 : 25,943 = 25,943 : x
  2. Step 2: Convert to fraction form
    17,286/25,943 = 25,943/x
  3. Step 3: Cross multiply
    17,286x = 25,943 × 25,943
  4. Step 4: Simplify right side
    17,286x = 673,039,249
  5. Step 5: Solve for x
    x = 673,039,249/17,286
  6. Step 6: Final answer
    x = 38,935.51

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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.