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Finding the Third Proportional to 36,324 and 50,019

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Solution

The third proportional to 36,324 and 50,019 is: 68,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,324 : 50,019 = 50,019 : x
  2. Step 2: Convert to fraction form
    36,324/50,019 = 50,019/x
  3. Step 3: Cross multiply
    36,324x = 50,019 × 50,019
  4. Step 4: Simplify right side
    36,324x = 2,501,900,361
  5. Step 5: Solve for x
    x = 2,501,900,361/36,324
  6. Step 6: Final answer
    x = 68,877.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.