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Finding the Third Proportional to 6,150.94 and 12,924.56

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Solution

The third proportional to 6,150.94 and 12,924.56 is: 27,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.94 : 12,924.56 = 12,924.56 : x
  2. Step 2: Convert to fraction form
    6,150.94/12,924.56 = 12,924.56/x
  3. Step 3: Cross multiply
    6,150.94x = 12,924.56 × 12,924.56
  4. Step 4: Simplify right side
    6,150.94x = 167,044,315.82
  5. Step 5: Solve for x
    x = 167,044,315.82/6,150.94
  6. Step 6: Final answer
    x = 27,157.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.