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Finding the Third Proportional to 6,980.25 and 15,189.75

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Solution

The third proportional to 6,980.25 and 15,189.75 is: 33,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.25 : 15,189.75 = 15,189.75 : x
  2. Step 2: Convert to fraction form
    6,980.25/15,189.75 = 15,189.75/x
  3. Step 3: Cross multiply
    6,980.25x = 15,189.75 × 15,189.75
  4. Step 4: Simplify right side
    6,980.25x = 230,728,505.06
  5. Step 5: Solve for x
    x = 230,728,505.06/6,980.25
  6. Step 6: Final answer
    x = 33,054.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.