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Finding the Third Proportional to 19,494.75 and 30,992.25

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Solution

The third proportional to 19,494.75 and 30,992.25 is: 49,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.75 : 30,992.25 = 30,992.25 : x
  2. Step 2: Convert to fraction form
    19,494.75/30,992.25 = 30,992.25/x
  3. Step 3: Cross multiply
    19,494.75x = 30,992.25 × 30,992.25
  4. Step 4: Simplify right side
    19,494.75x = 960,519,560.06
  5. Step 5: Solve for x
    x = 960,519,560.06/19,494.75
  6. Step 6: Final answer
    x = 49,270.68

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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.