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Finding the Third Proportional to 1,989.94 and 4,339.31

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Solution

The third proportional to 1,989.94 and 4,339.31 is: 9,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.94 : 4,339.31 = 4,339.31 : x
  2. Step 2: Convert to fraction form
    1,989.94/4,339.31 = 4,339.31/x
  3. Step 3: Cross multiply
    1,989.94x = 4,339.31 × 4,339.31
  4. Step 4: Simplify right side
    1,989.94x = 18,829,632.97
  5. Step 5: Solve for x
    x = 18,829,632.97/1,989.94
  6. Step 6: Final answer
    x = 9,462.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.