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Finding the Third Proportional to 8,359.50 and 19,805.25

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Solution

The third proportional to 8,359.50 and 19,805.25 is: 46,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.50 : 19,805.25 = 19,805.25 : x
  2. Step 2: Convert to fraction form
    8,359.50/19,805.25 = 19,805.25/x
  3. Step 3: Cross multiply
    8,359.50x = 19,805.25 × 19,805.25
  4. Step 4: Simplify right side
    8,359.50x = 392,247,927.56
  5. Step 5: Solve for x
    x = 392,247,927.56/8,359.50
  6. Step 6: Final answer
    x = 46,922.41

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.