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Finding the Third Proportional to 33,174 and 46,242

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Solution

The third proportional to 33,174 and 46,242 is: 64,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 46,242 = 46,242 : x
  2. Step 2: Convert to fraction form
    33,174/46,242 = 46,242/x
  3. Step 3: Cross multiply
    33,174x = 46,242 × 46,242
  4. Step 4: Simplify right side
    33,174x = 2,138,322,564
  5. Step 5: Solve for x
    x = 2,138,322,564/33,174
  6. Step 6: Final answer
    x = 64,457.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.