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Finding the Third Proportional to 21,674.25 and 46,581.75

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Solution

The third proportional to 21,674.25 and 46,581.75 is: 100,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.25 : 46,581.75 = 46,581.75 : x
  2. Step 2: Convert to fraction form
    21,674.25/46,581.75 = 46,581.75/x
  3. Step 3: Cross multiply
    21,674.25x = 46,581.75 × 46,581.75
  4. Step 4: Simplify right side
    21,674.25x = 2,169,859,433.06
  5. Step 5: Solve for x
    x = 2,169,859,433.06/21,674.25
  6. Step 6: Final answer
    x = 100,112.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.