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Finding the Third Proportional to 1,165.13 and 2,589.25

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Solution

The third proportional to 1,165.13 and 2,589.25 is: 5,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.13 : 2,589.25 = 2,589.25 : x
  2. Step 2: Convert to fraction form
    1,165.13/2,589.25 = 2,589.25/x
  3. Step 3: Cross multiply
    1,165.13x = 2,589.25 × 2,589.25
  4. Step 4: Simplify right side
    1,165.13x = 6,704,215.56
  5. Step 5: Solve for x
    x = 6,704,215.56/1,165.13
  6. Step 6: Final answer
    x = 5,754.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.