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Finding the Third Proportional to 29,512 and 60,728

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Solution

The third proportional to 29,512 and 60,728 is: 124,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512 : 60,728 = 60,728 : x
  2. Step 2: Convert to fraction form
    29,512/60,728 = 60,728/x
  3. Step 3: Cross multiply
    29,512x = 60,728 × 60,728
  4. Step 4: Simplify right side
    29,512x = 3,687,889,984
  5. Step 5: Solve for x
    x = 3,687,889,984/29,512
  6. Step 6: Final answer
    x = 124,962.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.