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Finding the Third Proportional to 35,882 and 50,165

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Solution

The third proportional to 35,882 and 50,165 is: 70,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882 : 50,165 = 50,165 : x
  2. Step 2: Convert to fraction form
    35,882/50,165 = 50,165/x
  3. Step 3: Cross multiply
    35,882x = 50,165 × 50,165
  4. Step 4: Simplify right side
    35,882x = 2,516,527,225
  5. Step 5: Solve for x
    x = 2,516,527,225/35,882
  6. Step 6: Final answer
    x = 70,133.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.