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Finding the Third Proportional to 21,954 and 48,012

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Solution

The third proportional to 21,954 and 48,012 is: 104,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 48,012 = 48,012 : x
  2. Step 2: Convert to fraction form
    21,954/48,012 = 48,012/x
  3. Step 3: Cross multiply
    21,954x = 48,012 × 48,012
  4. Step 4: Simplify right side
    21,954x = 2,305,152,144
  5. Step 5: Solve for x
    x = 2,305,152,144/21,954
  6. Step 6: Final answer
    x = 104,999.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.