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Finding the Third Proportional to 6,009.25 and 12,943.25

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Solution

The third proportional to 6,009.25 and 12,943.25 is: 27,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.25 : 12,943.25 = 12,943.25 : x
  2. Step 2: Convert to fraction form
    6,009.25/12,943.25 = 12,943.25/x
  3. Step 3: Cross multiply
    6,009.25x = 12,943.25 × 12,943.25
  4. Step 4: Simplify right side
    6,009.25x = 167,527,720.56
  5. Step 5: Solve for x
    x = 167,527,720.56/6,009.25
  6. Step 6: Final answer
    x = 27,878.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.