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Finding the Third Proportional to 35,244 and 50,921

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Solution

The third proportional to 35,244 and 50,921 is: 73,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,244 : 50,921 = 50,921 : x
  2. Step 2: Convert to fraction form
    35,244/50,921 = 50,921/x
  3. Step 3: Cross multiply
    35,244x = 50,921 × 50,921
  4. Step 4: Simplify right side
    35,244x = 2,592,948,241
  5. Step 5: Solve for x
    x = 2,592,948,241/35,244
  6. Step 6: Final answer
    x = 73,571.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.