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Finding the Third Proportional to 17,895 and 26,834

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Solution

The third proportional to 17,895 and 26,834 is: 40,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895 : 26,834 = 26,834 : x
  2. Step 2: Convert to fraction form
    17,895/26,834 = 26,834/x
  3. Step 3: Cross multiply
    17,895x = 26,834 × 26,834
  4. Step 4: Simplify right side
    17,895x = 720,063,556
  5. Step 5: Solve for x
    x = 720,063,556/17,895
  6. Step 6: Final answer
    x = 40,238.25

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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.