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Finding the Third Proportional to 19,667 and 42,462

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Solution

The third proportional to 19,667 and 42,462 is: 91,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 42,462 = 42,462 : x
  2. Step 2: Convert to fraction form
    19,667/42,462 = 42,462/x
  3. Step 3: Cross multiply
    19,667x = 42,462 × 42,462
  4. Step 4: Simplify right side
    19,667x = 1,803,021,444
  5. Step 5: Solve for x
    x = 1,803,021,444/19,667
  6. Step 6: Final answer
    x = 91,677.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.