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Finding the Third Proportional to 3,839.38 and 8,065.63

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Solution

The third proportional to 3,839.38 and 8,065.63 is: 16,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.38 : 8,065.63 = 8,065.63 : x
  2. Step 2: Convert to fraction form
    3,839.38/8,065.63 = 8,065.63/x
  3. Step 3: Cross multiply
    3,839.38x = 8,065.63 × 8,065.63
  4. Step 4: Simplify right side
    3,839.38x = 65,054,306.64
  5. Step 5: Solve for x
    x = 65,054,306.64/3,839.38
  6. Step 6: Final answer
    x = 16,943.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.