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Finding the Third Proportional to 4,200.19 and 5,821.03

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Solution

The third proportional to 4,200.19 and 5,821.03 is: 8,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.19 : 5,821.03 = 5,821.03 : x
  2. Step 2: Convert to fraction form
    4,200.19/5,821.03 = 5,821.03/x
  3. Step 3: Cross multiply
    4,200.19x = 5,821.03 × 5,821.03
  4. Step 4: Simplify right side
    4,200.19x = 33,884,404.81
  5. Step 5: Solve for x
    x = 33,884,404.81/4,200.19
  6. Step 6: Final answer
    x = 8,067.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.