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Finding the Third Proportional to 4,601.81 and 11,094.47

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Solution

The third proportional to 4,601.81 and 11,094.47 is: 26,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.81 : 11,094.47 = 11,094.47 : x
  2. Step 2: Convert to fraction form
    4,601.81/11,094.47 = 11,094.47/x
  3. Step 3: Cross multiply
    4,601.81x = 11,094.47 × 11,094.47
  4. Step 4: Simplify right side
    4,601.81x = 123,087,236.84
  5. Step 5: Solve for x
    x = 123,087,236.84/4,601.81
  6. Step 6: Final answer
    x = 26,747.56

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.