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Finding the Third Proportional to 2,113.03 and 3,604.22

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Solution

The third proportional to 2,113.03 and 3,604.22 is: 6,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.03 : 3,604.22 = 3,604.22 : x
  2. Step 2: Convert to fraction form
    2,113.03/3,604.22 = 3,604.22/x
  3. Step 3: Cross multiply
    2,113.03x = 3,604.22 × 3,604.22
  4. Step 4: Simplify right side
    2,113.03x = 12,990,392.80
  5. Step 5: Solve for x
    x = 12,990,392.80/2,113.03
  6. Step 6: Final answer
    x = 6,147.75

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.