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Finding the Third Proportional to 5,406.38 and 11,735.81

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Solution

The third proportional to 5,406.38 and 11,735.81 is: 25,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.38 : 11,735.81 = 11,735.81 : x
  2. Step 2: Convert to fraction form
    5,406.38/11,735.81 = 11,735.81/x
  3. Step 3: Cross multiply
    5,406.38x = 11,735.81 × 11,735.81
  4. Step 4: Simplify right side
    5,406.38x = 137,729,295.04
  5. Step 5: Solve for x
    x = 137,729,295.04/5,406.38
  6. Step 6: Final answer
    x = 25,475.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.