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Finding the Third Proportional to 34,686 and 50,733

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Solution

The third proportional to 34,686 and 50,733 is: 74,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686 : 50,733 = 50,733 : x
  2. Step 2: Convert to fraction form
    34,686/50,733 = 50,733/x
  3. Step 3: Cross multiply
    34,686x = 50,733 × 50,733
  4. Step 4: Simplify right side
    34,686x = 2,573,837,289
  5. Step 5: Solve for x
    x = 2,573,837,289/34,686
  6. Step 6: Final answer
    x = 74,203.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.