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Finding the Third Proportional to 23,447.25 and 50,634

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Solution

The third proportional to 23,447.25 and 50,634 is: 109,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.25 : 50,634 = 50,634 : x
  2. Step 2: Convert to fraction form
    23,447.25/50,634 = 50,634/x
  3. Step 3: Cross multiply
    23,447.25x = 50,634 × 50,634
  4. Step 4: Simplify right side
    23,447.25x = 2,563,801,956
  5. Step 5: Solve for x
    x = 2,563,801,956/23,447.25
  6. Step 6: Final answer
    x = 109,343.40

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Why These Related Problems?

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