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Finding the Third Proportional to 2,000.47 and 3,028.34

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Solution

The third proportional to 2,000.47 and 3,028.34 is: 4,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.47 : 3,028.34 = 3,028.34 : x
  2. Step 2: Convert to fraction form
    2,000.47/3,028.34 = 3,028.34/x
  3. Step 3: Cross multiply
    2,000.47x = 3,028.34 × 3,028.34
  4. Step 4: Simplify right side
    2,000.47x = 9,170,865.87
  5. Step 5: Solve for x
    x = 9,170,865.87/2,000.47
  6. Step 6: Final answer
    x = 4,584.36

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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.