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Finding the Third Proportional to 5,300.44 and 11,975.34

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Solution

The third proportional to 5,300.44 and 11,975.34 is: 27,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.44 : 11,975.34 = 11,975.34 : x
  2. Step 2: Convert to fraction form
    5,300.44/11,975.34 = 11,975.34/x
  3. Step 3: Cross multiply
    5,300.44x = 11,975.34 × 11,975.34
  4. Step 4: Simplify right side
    5,300.44x = 143,408,857.93
  5. Step 5: Solve for x
    x = 143,408,857.93/5,300.44
  6. Step 6: Final answer
    x = 27,056.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.