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Finding the Third Proportional to 19,377 and 41,853

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Solution

The third proportional to 19,377 and 41,853 is: 90,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377 : 41,853 = 41,853 : x
  2. Step 2: Convert to fraction form
    19,377/41,853 = 41,853/x
  3. Step 3: Cross multiply
    19,377x = 41,853 × 41,853
  4. Step 4: Simplify right side
    19,377x = 1,751,673,609
  5. Step 5: Solve for x
    x = 1,751,673,609/19,377
  6. Step 6: Final answer
    x = 90,399.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.