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Finding the Third Proportional to 29,997 and 44,830

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Solution

The third proportional to 29,997 and 44,830 is: 66,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997 : 44,830 = 44,830 : x
  2. Step 2: Convert to fraction form
    29,997/44,830 = 44,830/x
  3. Step 3: Cross multiply
    29,997x = 44,830 × 44,830
  4. Step 4: Simplify right side
    29,997x = 2,009,728,900
  5. Step 5: Solve for x
    x = 2,009,728,900/29,997
  6. Step 6: Final answer
    x = 66,997.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.