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Finding the Third Proportional to 19,491.26 and 30,986.30

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Solution

The third proportional to 19,491.26 and 30,986.30 is: 49,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.26 : 30,986.30 = 30,986.30 : x
  2. Step 2: Convert to fraction form
    19,491.26/30,986.30 = 30,986.30/x
  3. Step 3: Cross multiply
    19,491.26x = 30,986.30 × 30,986.30
  4. Step 4: Simplify right side
    19,491.26x = 960,150,594.03
  5. Step 5: Solve for x
    x = 960,150,594.03/19,491.26
  6. Step 6: Final answer
    x = 49,260.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.