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Finding the Third Proportional to 35,912 and 50,236

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Solution

The third proportional to 35,912 and 50,236 is: 70,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,912 : 50,236 = 50,236 : x
  2. Step 2: Convert to fraction form
    35,912/50,236 = 50,236/x
  3. Step 3: Cross multiply
    35,912x = 50,236 × 50,236
  4. Step 4: Simplify right side
    35,912x = 2,523,655,696
  5. Step 5: Solve for x
    x = 2,523,655,696/35,912
  6. Step 6: Final answer
    x = 70,273.33

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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.