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Finding the Third Proportional to 13,008.75 and 18,589.13

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Solution

The third proportional to 13,008.75 and 18,589.13 is: 26,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.75 : 18,589.13 = 18,589.13 : x
  2. Step 2: Convert to fraction form
    13,008.75/18,589.13 = 18,589.13/x
  3. Step 3: Cross multiply
    13,008.75x = 18,589.13 × 18,589.13
  4. Step 4: Simplify right side
    13,008.75x = 345,555,568.27
  5. Step 5: Solve for x
    x = 345,555,568.27/13,008.75
  6. Step 6: Final answer
    x = 26,563.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.