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Finding the Third Proportional to 6,005.81 and 8,400.38

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Solution

The third proportional to 6,005.81 and 8,400.38 is: 11,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.81 : 8,400.38 = 8,400.38 : x
  2. Step 2: Convert to fraction form
    6,005.81/8,400.38 = 8,400.38/x
  3. Step 3: Cross multiply
    6,005.81x = 8,400.38 × 8,400.38
  4. Step 4: Simplify right side
    6,005.81x = 70,566,300.14
  5. Step 5: Solve for x
    x = 70,566,300.14/6,005.81
  6. Step 6: Final answer
    x = 11,749.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.