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Finding the Third Proportional to 6,004.13 and 8,442.56

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Solution

The third proportional to 6,004.13 and 8,442.56 is: 11,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.13 : 8,442.56 = 8,442.56 : x
  2. Step 2: Convert to fraction form
    6,004.13/8,442.56 = 8,442.56/x
  3. Step 3: Cross multiply
    6,004.13x = 8,442.56 × 8,442.56
  4. Step 4: Simplify right side
    6,004.13x = 71,276,861.57
  5. Step 5: Solve for x
    x = 71,276,861.57/6,004.13
  6. Step 6: Final answer
    x = 11,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.