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Finding the Third Proportional to 33,039 and 47,097

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Solution

The third proportional to 33,039 and 47,097 is: 67,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039 : 47,097 = 47,097 : x
  2. Step 2: Convert to fraction form
    33,039/47,097 = 47,097/x
  3. Step 3: Cross multiply
    33,039x = 47,097 × 47,097
  4. Step 4: Simplify right side
    33,039x = 2,218,127,409
  5. Step 5: Solve for x
    x = 2,218,127,409/33,039
  6. Step 6: Final answer
    x = 67,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.