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Finding the Third Proportional to 21,954 and 48,387

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Solution

The third proportional to 21,954 and 48,387 is: 106,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 48,387 = 48,387 : x
  2. Step 2: Convert to fraction form
    21,954/48,387 = 48,387/x
  3. Step 3: Cross multiply
    21,954x = 48,387 × 48,387
  4. Step 4: Simplify right side
    21,954x = 2,341,301,769
  5. Step 5: Solve for x
    x = 2,341,301,769/21,954
  6. Step 6: Final answer
    x = 106,645.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.