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Finding the Third Proportional to 3,821.63 and 8,373.38

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Solution

The third proportional to 3,821.63 and 8,373.38 is: 18,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.63 : 8,373.38 = 8,373.38 : x
  2. Step 2: Convert to fraction form
    3,821.63/8,373.38 = 8,373.38/x
  3. Step 3: Cross multiply
    3,821.63x = 8,373.38 × 8,373.38
  4. Step 4: Simplify right side
    3,821.63x = 70,113,408.89
  5. Step 5: Solve for x
    x = 70,113,408.89/3,821.63
  6. Step 6: Final answer
    x = 18,346.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.