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Finding the Third Proportional to 6,504.94 and 13,471.38

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Solution

The third proportional to 6,504.94 and 13,471.38 is: 27,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.94 : 13,471.38 = 13,471.38 : x
  2. Step 2: Convert to fraction form
    6,504.94/13,471.38 = 13,471.38/x
  3. Step 3: Cross multiply
    6,504.94x = 13,471.38 × 13,471.38
  4. Step 4: Simplify right side
    6,504.94x = 181,477,944.39
  5. Step 5: Solve for x
    x = 181,477,944.39/6,504.94
  6. Step 6: Final answer
    x = 27,898.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.