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Finding the Third Proportional to 33,708 and 50,985

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Solution

The third proportional to 33,708 and 50,985 is: 77,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 50,985 = 50,985 : x
  2. Step 2: Convert to fraction form
    33,708/50,985 = 50,985/x
  3. Step 3: Cross multiply
    33,708x = 50,985 × 50,985
  4. Step 4: Simplify right side
    33,708x = 2,599,470,225
  5. Step 5: Solve for x
    x = 2,599,470,225/33,708
  6. Step 6: Final answer
    x = 77,117.31

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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.