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Finding the Third Proportional to 20,180 and 46,895

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Solution

The third proportional to 20,180 and 46,895 is: 108,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 46,895 = 46,895 : x
  2. Step 2: Convert to fraction form
    20,180/46,895 = 46,895/x
  3. Step 3: Cross multiply
    20,180x = 46,895 × 46,895
  4. Step 4: Simplify right side
    20,180x = 2,199,141,025
  5. Step 5: Solve for x
    x = 2,199,141,025/20,180
  6. Step 6: Final answer
    x = 108,976.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.