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Finding the Third Proportional to 19,449.25 and 41,666

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Solution

The third proportional to 19,449.25 and 41,666 is: 89,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449.25 : 41,666 = 41,666 : x
  2. Step 2: Convert to fraction form
    19,449.25/41,666 = 41,666/x
  3. Step 3: Cross multiply
    19,449.25x = 41,666 × 41,666
  4. Step 4: Simplify right side
    19,449.25x = 1,736,055,556
  5. Step 5: Solve for x
    x = 1,736,055,556/19,449.25
  6. Step 6: Final answer
    x = 89,260.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.