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Finding the Third Proportional to 28,050 and 33,170

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Solution

The third proportional to 28,050 and 33,170 is: 39,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,050 : 33,170 = 33,170 : x
  2. Step 2: Convert to fraction form
    28,050/33,170 = 33,170/x
  3. Step 3: Cross multiply
    28,050x = 33,170 × 33,170
  4. Step 4: Simplify right side
    28,050x = 1,100,248,900
  5. Step 5: Solve for x
    x = 1,100,248,900/28,050
  6. Step 6: Final answer
    x = 39,224.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.