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Finding the Third Proportional to 29,792 and 73,456

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Solution

The third proportional to 29,792 and 73,456 is: 181,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792 : 73,456 = 73,456 : x
  2. Step 2: Convert to fraction form
    29,792/73,456 = 73,456/x
  3. Step 3: Cross multiply
    29,792x = 73,456 × 73,456
  4. Step 4: Simplify right side
    29,792x = 5,395,783,936
  5. Step 5: Solve for x
    x = 5,395,783,936/29,792
  6. Step 6: Final answer
    x = 181,115.20

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.