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Finding the Third Proportional to 19,922 and 29,766

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Solution

The third proportional to 19,922 and 29,766 is: 44,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922 : 29,766 = 29,766 : x
  2. Step 2: Convert to fraction form
    19,922/29,766 = 29,766/x
  3. Step 3: Cross multiply
    19,922x = 29,766 × 29,766
  4. Step 4: Simplify right side
    19,922x = 886,014,756
  5. Step 5: Solve for x
    x = 886,014,756/19,922
  6. Step 6: Final answer
    x = 44,474.19

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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.