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Finding the Third Proportional to 29,890 and 44,777

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Solution

The third proportional to 29,890 and 44,777 is: 67,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,890 : 44,777 = 44,777 : x
  2. Step 2: Convert to fraction form
    29,890/44,777 = 44,777/x
  3. Step 3: Cross multiply
    29,890x = 44,777 × 44,777
  4. Step 4: Simplify right side
    29,890x = 2,004,979,729
  5. Step 5: Solve for x
    x = 2,004,979,729/29,890
  6. Step 6: Final answer
    x = 67,078.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.