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Finding the Third Proportional to 33,991 and 51,148

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Solution

The third proportional to 33,991 and 51,148 is: 76,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991 : 51,148 = 51,148 : x
  2. Step 2: Convert to fraction form
    33,991/51,148 = 51,148/x
  3. Step 3: Cross multiply
    33,991x = 51,148 × 51,148
  4. Step 4: Simplify right side
    33,991x = 2,616,117,904
  5. Step 5: Solve for x
    x = 2,616,117,904/33,991
  6. Step 6: Final answer
    x = 76,965.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.