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Finding the Third Proportional to 35,285 and 50,155

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Solution

The third proportional to 35,285 and 50,155 is: 71,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285 : 50,155 = 50,155 : x
  2. Step 2: Convert to fraction form
    35,285/50,155 = 50,155/x
  3. Step 3: Cross multiply
    35,285x = 50,155 × 50,155
  4. Step 4: Simplify right side
    35,285x = 2,515,524,025
  5. Step 5: Solve for x
    x = 2,515,524,025/35,285
  6. Step 6: Final answer
    x = 71,291.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.