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Finding the Third Proportional to 34,963 and 73,341

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Solution

The third proportional to 34,963 and 73,341 is: 153,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,963 : 73,341 = 73,341 : x
  2. Step 2: Convert to fraction form
    34,963/73,341 = 73,341/x
  3. Step 3: Cross multiply
    34,963x = 73,341 × 73,341
  4. Step 4: Simplify right side
    34,963x = 5,378,902,281
  5. Step 5: Solve for x
    x = 5,378,902,281/34,963
  6. Step 6: Final answer
    x = 153,845.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.