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Finding the Third Proportional to 3,028 and 6,764.38

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Solution

The third proportional to 3,028 and 6,764.38 is: 15,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028 : 6,764.38 = 6,764.38 : x
  2. Step 2: Convert to fraction form
    3,028/6,764.38 = 6,764.38/x
  3. Step 3: Cross multiply
    3,028x = 6,764.38 × 6,764.38
  4. Step 4: Simplify right side
    3,028x = 45,756,769.14
  5. Step 5: Solve for x
    x = 45,756,769.14/3,028
  6. Step 6: Final answer
    x = 15,111.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.