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Finding the Third Proportional to 35,984 and 73,399

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Solution

The third proportional to 35,984 and 73,399 is: 149,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984 : 73,399 = 73,399 : x
  2. Step 2: Convert to fraction form
    35,984/73,399 = 73,399/x
  3. Step 3: Cross multiply
    35,984x = 73,399 × 73,399
  4. Step 4: Simplify right side
    35,984x = 5,387,413,201
  5. Step 5: Solve for x
    x = 5,387,413,201/35,984
  6. Step 6: Final answer
    x = 149,716.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.