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Finding the Third Proportional to 29,886 and 44,766

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Solution

The third proportional to 29,886 and 44,766 is: 67,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886 : 44,766 = 44,766 : x
  2. Step 2: Convert to fraction form
    29,886/44,766 = 44,766/x
  3. Step 3: Cross multiply
    29,886x = 44,766 × 44,766
  4. Step 4: Simplify right side
    29,886x = 2,003,994,756
  5. Step 5: Solve for x
    x = 2,003,994,756/29,886
  6. Step 6: Final answer
    x = 67,054.63

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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.