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Finding the Third Proportional to 19,175 and 41,837

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Solution

The third proportional to 19,175 and 41,837 is: 91,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,175 : 41,837 = 41,837 : x
  2. Step 2: Convert to fraction form
    19,175/41,837 = 41,837/x
  3. Step 3: Cross multiply
    19,175x = 41,837 × 41,837
  4. Step 4: Simplify right side
    19,175x = 1,750,334,569
  5. Step 5: Solve for x
    x = 1,750,334,569/19,175
  6. Step 6: Final answer
    x = 91,282.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.