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Finding the Third Proportional to 29,673 and 60,447

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Solution

The third proportional to 29,673 and 60,447 is: 123,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,673 : 60,447 = 60,447 : x
  2. Step 2: Convert to fraction form
    29,673/60,447 = 60,447/x
  3. Step 3: Cross multiply
    29,673x = 60,447 × 60,447
  4. Step 4: Simplify right side
    29,673x = 3,653,839,809
  5. Step 5: Solve for x
    x = 3,653,839,809/29,673
  6. Step 6: Final answer
    x = 123,136.85

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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.