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Finding the Third Proportional to 17,369 and 26,912

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Solution

The third proportional to 17,369 and 26,912 is: 41,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369 : 26,912 = 26,912 : x
  2. Step 2: Convert to fraction form
    17,369/26,912 = 26,912/x
  3. Step 3: Cross multiply
    17,369x = 26,912 × 26,912
  4. Step 4: Simplify right side
    17,369x = 724,255,744
  5. Step 5: Solve for x
    x = 724,255,744/17,369
  6. Step 6: Final answer
    x = 41,698.18

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Why These Related Problems?

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