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Finding the Third Proportional to 4,844.81 and 7,548.19

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Solution

The third proportional to 4,844.81 and 7,548.19 is: 11,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.81 : 7,548.19 = 7,548.19 : x
  2. Step 2: Convert to fraction form
    4,844.81/7,548.19 = 7,548.19/x
  3. Step 3: Cross multiply
    4,844.81x = 7,548.19 × 7,548.19
  4. Step 4: Simplify right side
    4,844.81x = 56,975,134.54
  5. Step 5: Solve for x
    x = 56,975,134.54/4,844.81
  6. Step 6: Final answer
    x = 11,760.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.