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Finding the Third Proportional to 4,853.81 and 10,399.31

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Solution

The third proportional to 4,853.81 and 10,399.31 is: 22,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.81 : 10,399.31 = 10,399.31 : x
  2. Step 2: Convert to fraction form
    4,853.81/10,399.31 = 10,399.31/x
  3. Step 3: Cross multiply
    4,853.81x = 10,399.31 × 10,399.31
  4. Step 4: Simplify right side
    4,853.81x = 108,145,700.47
  5. Step 5: Solve for x
    x = 108,145,700.47/4,853.81
  6. Step 6: Final answer
    x = 22,280.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.