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Finding the Third Proportional to 6,004.13 and 14,025.38

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Solution

The third proportional to 6,004.13 and 14,025.38 is: 32,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.13 : 14,025.38 = 14,025.38 : x
  2. Step 2: Convert to fraction form
    6,004.13/14,025.38 = 14,025.38/x
  3. Step 3: Cross multiply
    6,004.13x = 14,025.38 × 14,025.38
  4. Step 4: Simplify right side
    6,004.13x = 196,711,143.89
  5. Step 5: Solve for x
    x = 196,711,143.89/6,004.13
  6. Step 6: Final answer
    x = 32,762.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.