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Finding the Third Proportional to 19,430 and 41,692

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Solution

The third proportional to 19,430 and 41,692 is: 89,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430 : 41,692 = 41,692 : x
  2. Step 2: Convert to fraction form
    19,430/41,692 = 41,692/x
  3. Step 3: Cross multiply
    19,430x = 41,692 × 41,692
  4. Step 4: Simplify right side
    19,430x = 1,738,222,864
  5. Step 5: Solve for x
    x = 1,738,222,864/19,430
  6. Step 6: Final answer
    x = 89,460.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.