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Finding the Third Proportional to 19,840 and 29,694

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Solution

The third proportional to 19,840 and 29,694 is: 44,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840 : 29,694 = 29,694 : x
  2. Step 2: Convert to fraction form
    19,840/29,694 = 29,694/x
  3. Step 3: Cross multiply
    19,840x = 29,694 × 29,694
  4. Step 4: Simplify right side
    19,840x = 881,733,636
  5. Step 5: Solve for x
    x = 881,733,636/19,840
  6. Step 6: Final answer
    x = 44,442.22

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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.