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Finding the Third Proportional to 13,589.44 and 21,619.41

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Solution

The third proportional to 13,589.44 and 21,619.41 is: 34,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.44 : 21,619.41 = 21,619.41 : x
  2. Step 2: Convert to fraction form
    13,589.44/21,619.41 = 21,619.41/x
  3. Step 3: Cross multiply
    13,589.44x = 21,619.41 × 21,619.41
  4. Step 4: Simplify right side
    13,589.44x = 467,398,726.60
  5. Step 5: Solve for x
    x = 467,398,726.60/13,589.44
  6. Step 6: Final answer
    x = 34,394.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.