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Finding the Third Proportional to 9,401.25 and 19,858.50

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Solution

The third proportional to 9,401.25 and 19,858.50 is: 41,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.25 : 19,858.50 = 19,858.50 : x
  2. Step 2: Convert to fraction form
    9,401.25/19,858.50 = 19,858.50/x
  3. Step 3: Cross multiply
    9,401.25x = 19,858.50 × 19,858.50
  4. Step 4: Simplify right side
    9,401.25x = 394,360,022.25
  5. Step 5: Solve for x
    x = 394,360,022.25/9,401.25
  6. Step 6: Final answer
    x = 41,947.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.