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Finding the Third Proportional to 13,794.05 and 30,094.03

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Solution

The third proportional to 13,794.05 and 30,094.03 is: 65,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.05 : 30,094.03 = 30,094.03 : x
  2. Step 2: Convert to fraction form
    13,794.05/30,094.03 = 30,094.03/x
  3. Step 3: Cross multiply
    13,794.05x = 30,094.03 × 30,094.03
  4. Step 4: Simplify right side
    13,794.05x = 905,650,716.88
  5. Step 5: Solve for x
    x = 905,650,716.88/13,794.05
  6. Step 6: Final answer
    x = 65,655.19

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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.