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Finding the Third Proportional to 6,105.38 and 6,933.38

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Solution

The third proportional to 6,105.38 and 6,933.38 is: 7,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.38 : 6,933.38 = 6,933.38 : x
  2. Step 2: Convert to fraction form
    6,105.38/6,933.38 = 6,933.38/x
  3. Step 3: Cross multiply
    6,105.38x = 6,933.38 × 6,933.38
  4. Step 4: Simplify right side
    6,105.38x = 48,071,688.89
  5. Step 5: Solve for x
    x = 48,071,688.89/6,105.38
  6. Step 6: Final answer
    x = 7,873.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.