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Finding the Third Proportional to 29,099 and 44,494

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Solution

The third proportional to 29,099 and 44,494 is: 68,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099 : 44,494 = 44,494 : x
  2. Step 2: Convert to fraction form
    29,099/44,494 = 44,494/x
  3. Step 3: Cross multiply
    29,099x = 44,494 × 44,494
  4. Step 4: Simplify right side
    29,099x = 1,979,716,036
  5. Step 5: Solve for x
    x = 1,979,716,036/29,099
  6. Step 6: Final answer
    x = 68,033.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.