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Finding the Third Proportional to 2,548.59 and 3,589.03

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Solution

The third proportional to 2,548.59 and 3,589.03 is: 5,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.59 : 3,589.03 = 3,589.03 : x
  2. Step 2: Convert to fraction form
    2,548.59/3,589.03 = 3,589.03/x
  3. Step 3: Cross multiply
    2,548.59x = 3,589.03 × 3,589.03
  4. Step 4: Simplify right side
    2,548.59x = 12,881,145.31
  5. Step 5: Solve for x
    x = 12,881,145.31/2,548.59
  6. Step 6: Final answer
    x = 5,054.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.