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Finding the Third Proportional to 33,485 and 50,659

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Solution

The third proportional to 33,485 and 50,659 is: 76,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,485 : 50,659 = 50,659 : x
  2. Step 2: Convert to fraction form
    33,485/50,659 = 50,659/x
  3. Step 3: Cross multiply
    33,485x = 50,659 × 50,659
  4. Step 4: Simplify right side
    33,485x = 2,566,334,281
  5. Step 5: Solve for x
    x = 2,566,334,281/33,485
  6. Step 6: Final answer
    x = 76,641.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.