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Finding the Third Proportional to 17,244 and 26,696

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Solution

The third proportional to 17,244 and 26,696 is: 41,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,244 : 26,696 = 26,696 : x
  2. Step 2: Convert to fraction form
    17,244/26,696 = 26,696/x
  3. Step 3: Cross multiply
    17,244x = 26,696 × 26,696
  4. Step 4: Simplify right side
    17,244x = 712,676,416
  5. Step 5: Solve for x
    x = 712,676,416/17,244
  6. Step 6: Final answer
    x = 41,328.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.