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Finding the Third Proportional to 35,469.84 and 74,224.97

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Solution

The third proportional to 35,469.84 and 74,224.97 is: 155,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,469.84 : 74,224.97 = 74,224.97 : x
  2. Step 2: Convert to fraction form
    35,469.84/74,224.97 = 74,224.97/x
  3. Step 3: Cross multiply
    35,469.84x = 74,224.97 × 74,224.97
  4. Step 4: Simplify right side
    35,469.84x = 5,509,345,985.94
  5. Step 5: Solve for x
    x = 5,509,345,985.94/35,469.84
  6. Step 6: Final answer
    x = 155,324.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.