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Finding the Third Proportional to 1,983.94 and 2,609.16

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Solution

The third proportional to 1,983.94 and 2,609.16 is: 3,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.94 : 2,609.16 = 2,609.16 : x
  2. Step 2: Convert to fraction form
    1,983.94/2,609.16 = 2,609.16/x
  3. Step 3: Cross multiply
    1,983.94x = 2,609.16 × 2,609.16
  4. Step 4: Simplify right side
    1,983.94x = 6,807,696.34
  5. Step 5: Solve for x
    x = 6,807,696.34/1,983.94
  6. Step 6: Final answer
    x = 3,431.41

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.