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Finding the Third Proportional to 13,805.44 and 30,121.88

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Solution

The third proportional to 13,805.44 and 30,121.88 is: 65,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.44 : 30,121.88 = 30,121.88 : x
  2. Step 2: Convert to fraction form
    13,805.44/30,121.88 = 30,121.88/x
  3. Step 3: Cross multiply
    13,805.44x = 30,121.88 × 30,121.88
  4. Step 4: Simplify right side
    13,805.44x = 907,327,353.52
  5. Step 5: Solve for x
    x = 907,327,353.52/13,805.44
  6. Step 6: Final answer
    x = 65,722.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.