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Finding the Third Proportional to 16,175 and 34,834

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Solution

The third proportional to 16,175 and 34,834 is: 75,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175 : 34,834 = 34,834 : x
  2. Step 2: Convert to fraction form
    16,175/34,834 = 34,834/x
  3. Step 3: Cross multiply
    16,175x = 34,834 × 34,834
  4. Step 4: Simplify right side
    16,175x = 1,213,407,556
  5. Step 5: Solve for x
    x = 1,213,407,556/16,175
  6. Step 6: Final answer
    x = 75,017.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.