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Finding the Third Proportional to 2,419.03 and 5,740.03

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Solution

The third proportional to 2,419.03 and 5,740.03 is: 13,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.03 : 5,740.03 = 5,740.03 : x
  2. Step 2: Convert to fraction form
    2,419.03/5,740.03 = 5,740.03/x
  3. Step 3: Cross multiply
    2,419.03x = 5,740.03 × 5,740.03
  4. Step 4: Simplify right side
    2,419.03x = 32,947,958.75
  5. Step 5: Solve for x
    x = 32,947,958.75/2,419.03
  6. Step 6: Final answer
    x = 13,620.31

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.