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Finding the Third Proportional to 19,667 and 42,790

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Solution

The third proportional to 19,667 and 42,790 is: 93,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 42,790 = 42,790 : x
  2. Step 2: Convert to fraction form
    19,667/42,790 = 42,790/x
  3. Step 3: Cross multiply
    19,667x = 42,790 × 42,790
  4. Step 4: Simplify right side
    19,667x = 1,830,984,100
  5. Step 5: Solve for x
    x = 1,830,984,100/19,667
  6. Step 6: Final answer
    x = 93,099.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.