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Finding the Third Proportional to 33,994 and 73,455

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Solution

The third proportional to 33,994 and 73,455 is: 158,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 73,455 = 73,455 : x
  2. Step 2: Convert to fraction form
    33,994/73,455 = 73,455/x
  3. Step 3: Cross multiply
    33,994x = 73,455 × 73,455
  4. Step 4: Simplify right side
    33,994x = 5,395,637,025
  5. Step 5: Solve for x
    x = 5,395,637,025/33,994
  6. Step 6: Final answer
    x = 158,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.