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Finding the Third Proportional to 11,705.25 and 19,016.25

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Solution

The third proportional to 11,705.25 and 19,016.25 is: 30,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.25 : 19,016.25 = 19,016.25 : x
  2. Step 2: Convert to fraction form
    11,705.25/19,016.25 = 19,016.25/x
  3. Step 3: Cross multiply
    11,705.25x = 19,016.25 × 19,016.25
  4. Step 4: Simplify right side
    11,705.25x = 361,617,764.06
  5. Step 5: Solve for x
    x = 361,617,764.06/11,705.25
  6. Step 6: Final answer
    x = 30,893.64

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.