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Finding the Third Proportional to 17,286 and 26,082

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Solution

The third proportional to 17,286 and 26,082 is: 39,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286 : 26,082 = 26,082 : x
  2. Step 2: Convert to fraction form
    17,286/26,082 = 26,082/x
  3. Step 3: Cross multiply
    17,286x = 26,082 × 26,082
  4. Step 4: Simplify right side
    17,286x = 680,270,724
  5. Step 5: Solve for x
    x = 680,270,724/17,286
  6. Step 6: Final answer
    x = 39,353.85

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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.