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Finding the Third Proportional to 19,462 and 30,197

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Solution

The third proportional to 19,462 and 30,197 is: 46,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 30,197 = 30,197 : x
  2. Step 2: Convert to fraction form
    19,462/30,197 = 30,197/x
  3. Step 3: Cross multiply
    19,462x = 30,197 × 30,197
  4. Step 4: Simplify right side
    19,462x = 911,858,809
  5. Step 5: Solve for x
    x = 911,858,809/19,462
  6. Step 6: Final answer
    x = 46,853.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.