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Finding the Third Proportional to 5,418.56 and 12,589.59

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Solution

The third proportional to 5,418.56 and 12,589.59 is: 29,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.56 : 12,589.59 = 12,589.59 : x
  2. Step 2: Convert to fraction form
    5,418.56/12,589.59 = 12,589.59/x
  3. Step 3: Cross multiply
    5,418.56x = 12,589.59 × 12,589.59
  4. Step 4: Simplify right side
    5,418.56x = 158,497,870.79
  5. Step 5: Solve for x
    x = 158,497,870.79/5,418.56
  6. Step 6: Final answer
    x = 29,250.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.