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Finding the Third Proportional to 15,745.50 and 25,771.50

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Solution

The third proportional to 15,745.50 and 25,771.50 is: 42,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.50 : 25,771.50 = 25,771.50 : x
  2. Step 2: Convert to fraction form
    15,745.50/25,771.50 = 25,771.50/x
  3. Step 3: Cross multiply
    15,745.50x = 25,771.50 × 25,771.50
  4. Step 4: Simplify right side
    15,745.50x = 664,170,212.25
  5. Step 5: Solve for x
    x = 664,170,212.25/15,745.50
  6. Step 6: Final answer
    x = 42,181.59

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.