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Finding the Third Proportional to 13,662 and 21,723.75

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Solution

The third proportional to 13,662 and 21,723.75 is: 34,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 21,723.75 = 21,723.75 : x
  2. Step 2: Convert to fraction form
    13,662/21,723.75 = 21,723.75/x
  3. Step 3: Cross multiply
    13,662x = 21,723.75 × 21,723.75
  4. Step 4: Simplify right side
    13,662x = 471,921,314.06
  5. Step 5: Solve for x
    x = 471,921,314.06/13,662
  6. Step 6: Final answer
    x = 34,542.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.