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Finding the Third Proportional to 3,412.94 and 5,426.84

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Solution

The third proportional to 3,412.94 and 5,426.84 is: 8,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 5,426.84 = 5,426.84 : x
  2. Step 2: Convert to fraction form
    3,412.94/5,426.84 = 5,426.84/x
  3. Step 3: Cross multiply
    3,412.94x = 5,426.84 × 5,426.84
  4. Step 4: Simplify right side
    3,412.94x = 29,450,633.09
  5. Step 5: Solve for x
    x = 29,450,633.09/3,412.94
  6. Step 6: Final answer
    x = 8,629.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.