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Finding the Third Proportional to 19,794 and 46,722

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Solution

The third proportional to 19,794 and 46,722 is: 110,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 46,722 = 46,722 : x
  2. Step 2: Convert to fraction form
    19,794/46,722 = 46,722/x
  3. Step 3: Cross multiply
    19,794x = 46,722 × 46,722
  4. Step 4: Simplify right side
    19,794x = 2,182,945,284
  5. Step 5: Solve for x
    x = 2,182,945,284/19,794
  6. Step 6: Final answer
    x = 110,283.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.