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Finding the Third Proportional to 13,765.50 and 30,375.56

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Solution

The third proportional to 13,765.50 and 30,375.56 is: 67,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.50 : 30,375.56 = 30,375.56 : x
  2. Step 2: Convert to fraction form
    13,765.50/30,375.56 = 30,375.56/x
  3. Step 3: Cross multiply
    13,765.50x = 30,375.56 × 30,375.56
  4. Step 4: Simplify right side
    13,765.50x = 922,674,797.19
  5. Step 5: Solve for x
    x = 922,674,797.19/13,765.50
  6. Step 6: Final answer
    x = 67,028.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.