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Finding the Third Proportional to 35,194 and 47,812

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Solution

The third proportional to 35,194 and 47,812 is: 64,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,194 : 47,812 = 47,812 : x
  2. Step 2: Convert to fraction form
    35,194/47,812 = 47,812/x
  3. Step 3: Cross multiply
    35,194x = 47,812 × 47,812
  4. Step 4: Simplify right side
    35,194x = 2,285,987,344
  5. Step 5: Solve for x
    x = 2,285,987,344/35,194
  6. Step 6: Final answer
    x = 64,953.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.