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Finding the Third Proportional to 5,975.44 and 13,130.44

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Solution

The third proportional to 5,975.44 and 13,130.44 is: 28,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.44 : 13,130.44 = 13,130.44 : x
  2. Step 2: Convert to fraction form
    5,975.44/13,130.44 = 13,130.44/x
  3. Step 3: Cross multiply
    5,975.44x = 13,130.44 × 13,130.44
  4. Step 4: Simplify right side
    5,975.44x = 172,408,388.94
  5. Step 5: Solve for x
    x = 172,408,388.94/5,975.44
  6. Step 6: Final answer
    x = 28,852.85

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Why These Related Problems?

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