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Finding the Third Proportional to 29,976 and 49,728

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Solution

The third proportional to 29,976 and 49,728 is: 82,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 49,728 = 49,728 : x
  2. Step 2: Convert to fraction form
    29,976/49,728 = 49,728/x
  3. Step 3: Cross multiply
    29,976x = 49,728 × 49,728
  4. Step 4: Simplify right side
    29,976x = 2,472,873,984
  5. Step 5: Solve for x
    x = 2,472,873,984/29,976
  6. Step 6: Final answer
    x = 82,495.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.