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Finding the Third Proportional to 1,594.13 and 4,311.56

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Solution

The third proportional to 1,594.13 and 4,311.56 is: 11,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.13 : 4,311.56 = 4,311.56 : x
  2. Step 2: Convert to fraction form
    1,594.13/4,311.56 = 4,311.56/x
  3. Step 3: Cross multiply
    1,594.13x = 4,311.56 × 4,311.56
  4. Step 4: Simplify right side
    1,594.13x = 18,589,571.19
  5. Step 5: Solve for x
    x = 18,589,571.19/1,594.13
  6. Step 6: Final answer
    x = 11,661.30

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.