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Finding the Third Proportional to 33,573 and 47,060

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Solution

The third proportional to 33,573 and 47,060 is: 65,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573 : 47,060 = 47,060 : x
  2. Step 2: Convert to fraction form
    33,573/47,060 = 47,060/x
  3. Step 3: Cross multiply
    33,573x = 47,060 × 47,060
  4. Step 4: Simplify right side
    33,573x = 2,214,643,600
  5. Step 5: Solve for x
    x = 2,214,643,600/33,573
  6. Step 6: Final answer
    x = 65,965.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.