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Finding the Third Proportional to 1,672.03 and 3,663.28

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Solution

The third proportional to 1,672.03 and 3,663.28 is: 8,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.03 : 3,663.28 = 3,663.28 : x
  2. Step 2: Convert to fraction form
    1,672.03/3,663.28 = 3,663.28/x
  3. Step 3: Cross multiply
    1,672.03x = 3,663.28 × 3,663.28
  4. Step 4: Simplify right side
    1,672.03x = 13,419,629.52
  5. Step 5: Solve for x
    x = 13,419,629.52/1,672.03
  6. Step 6: Final answer
    x = 8,025.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.