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Finding the Third Proportional to 29,786 and 44,647

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Solution

The third proportional to 29,786 and 44,647 is: 66,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786 : 44,647 = 44,647 : x
  2. Step 2: Convert to fraction form
    29,786/44,647 = 44,647/x
  3. Step 3: Cross multiply
    29,786x = 44,647 × 44,647
  4. Step 4: Simplify right side
    29,786x = 1,993,354,609
  5. Step 5: Solve for x
    x = 1,993,354,609/29,786
  6. Step 6: Final answer
    x = 66,922.53

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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.