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Finding the Third Proportional to 21,616.31 and 50,489.44

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Solution

The third proportional to 21,616.31 and 50,489.44 is: 117,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.31 : 50,489.44 = 50,489.44 : x
  2. Step 2: Convert to fraction form
    21,616.31/50,489.44 = 50,489.44/x
  3. Step 3: Cross multiply
    21,616.31x = 50,489.44 × 50,489.44
  4. Step 4: Simplify right side
    21,616.31x = 2,549,183,299.07
  5. Step 5: Solve for x
    x = 2,549,183,299.07/21,616.31
  6. Step 6: Final answer
    x = 117,928.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.