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Finding the Third Proportional to 19,949.25 and 40,809.75

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Solution

The third proportional to 19,949.25 and 40,809.75 is: 83,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.25 : 40,809.75 = 40,809.75 : x
  2. Step 2: Convert to fraction form
    19,949.25/40,809.75 = 40,809.75/x
  3. Step 3: Cross multiply
    19,949.25x = 40,809.75 × 40,809.75
  4. Step 4: Simplify right side
    19,949.25x = 1,665,435,695.06
  5. Step 5: Solve for x
    x = 1,665,435,695.06/19,949.25
  6. Step 6: Final answer
    x = 83,483.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.