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Finding the Third Proportional to 19,495.25 and 30,993

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Solution

The third proportional to 19,495.25 and 30,993 is: 49,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495.25 : 30,993 = 30,993 : x
  2. Step 2: Convert to fraction form
    19,495.25/30,993 = 30,993/x
  3. Step 3: Cross multiply
    19,495.25x = 30,993 × 30,993
  4. Step 4: Simplify right side
    19,495.25x = 960,566,049
  5. Step 5: Solve for x
    x = 960,566,049/19,495.25
  6. Step 6: Final answer
    x = 49,271.80

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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.