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Finding the Third Proportional to 1,632.09 and 3,944.95

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Solution

The third proportional to 1,632.09 and 3,944.95 is: 9,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.09 : 3,944.95 = 3,944.95 : x
  2. Step 2: Convert to fraction form
    1,632.09/3,944.95 = 3,944.95/x
  3. Step 3: Cross multiply
    1,632.09x = 3,944.95 × 3,944.95
  4. Step 4: Simplify right side
    1,632.09x = 15,562,655.16
  5. Step 5: Solve for x
    x = 15,562,655.16/1,632.09
  6. Step 6: Final answer
    x = 9,535.39

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.