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Finding the Third Proportional to 7,943.06 and 11,975.34

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Solution

The third proportional to 7,943.06 and 11,975.34 is: 18,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.06 : 11,975.34 = 11,975.34 : x
  2. Step 2: Convert to fraction form
    7,943.06/11,975.34 = 11,975.34/x
  3. Step 3: Cross multiply
    7,943.06x = 11,975.34 × 11,975.34
  4. Step 4: Simplify right side
    7,943.06x = 143,408,857.93
  5. Step 5: Solve for x
    x = 143,408,857.93/7,943.06
  6. Step 6: Final answer
    x = 18,054.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.