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Finding the Third Proportional to 3,851.63 and 5,849.63

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Solution

The third proportional to 3,851.63 and 5,849.63 is: 8,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.63 : 5,849.63 = 5,849.63 : x
  2. Step 2: Convert to fraction form
    3,851.63/5,849.63 = 5,849.63/x
  3. Step 3: Cross multiply
    3,851.63x = 5,849.63 × 5,849.63
  4. Step 4: Simplify right side
    3,851.63x = 34,218,112.64
  5. Step 5: Solve for x
    x = 34,218,112.64/3,851.63
  6. Step 6: Final answer
    x = 8,884.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.