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Finding the Third Proportional to 13,922.44 and 18,461.25

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Solution

The third proportional to 13,922.44 and 18,461.25 is: 24,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.44 : 18,461.25 = 18,461.25 : x
  2. Step 2: Convert to fraction form
    13,922.44/18,461.25 = 18,461.25/x
  3. Step 3: Cross multiply
    13,922.44x = 18,461.25 × 18,461.25
  4. Step 4: Simplify right side
    13,922.44x = 340,817,751.56
  5. Step 5: Solve for x
    x = 340,817,751.56/13,922.44
  6. Step 6: Final answer
    x = 24,479.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.