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Finding the Third Proportional to 4,491.94 and 10,491.56

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Solution

The third proportional to 4,491.94 and 10,491.56 is: 24,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.94 : 10,491.56 = 10,491.56 : x
  2. Step 2: Convert to fraction form
    4,491.94/10,491.56 = 10,491.56/x
  3. Step 3: Cross multiply
    4,491.94x = 10,491.56 × 10,491.56
  4. Step 4: Simplify right side
    4,491.94x = 110,072,883.69
  5. Step 5: Solve for x
    x = 110,072,883.69/4,491.94
  6. Step 6: Final answer
    x = 24,504.54

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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.