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Finding the Third Proportional to 8,054.44 and 17,744.06

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Solution

The third proportional to 8,054.44 and 17,744.06 is: 39,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.44 : 17,744.06 = 17,744.06 : x
  2. Step 2: Convert to fraction form
    8,054.44/17,744.06 = 17,744.06/x
  3. Step 3: Cross multiply
    8,054.44x = 17,744.06 × 17,744.06
  4. Step 4: Simplify right side
    8,054.44x = 314,851,754.00
  5. Step 5: Solve for x
    x = 314,851,754.00/8,054.44
  6. Step 6: Final answer
    x = 39,090.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.