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Finding the Third Proportional to 19,305 and 41,994

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Solution

The third proportional to 19,305 and 41,994 is: 91,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 41,994 = 41,994 : x
  2. Step 2: Convert to fraction form
    19,305/41,994 = 41,994/x
  3. Step 3: Cross multiply
    19,305x = 41,994 × 41,994
  4. Step 4: Simplify right side
    19,305x = 1,763,496,036
  5. Step 5: Solve for x
    x = 1,763,496,036/19,305
  6. Step 6: Final answer
    x = 91,349.19

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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.