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Finding the Third Proportional to 13,596 and 18,299.25

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Solution

The third proportional to 13,596 and 18,299.25 is: 24,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596 : 18,299.25 = 18,299.25 : x
  2. Step 2: Convert to fraction form
    13,596/18,299.25 = 18,299.25/x
  3. Step 3: Cross multiply
    13,596x = 18,299.25 × 18,299.25
  4. Step 4: Simplify right side
    13,596x = 334,862,550.56
  5. Step 5: Solve for x
    x = 334,862,550.56/13,596
  6. Step 6: Final answer
    x = 24,629.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.