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Finding the Third Proportional to 21,687.75 and 46,599.05

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Solution

The third proportional to 21,687.75 and 46,599.05 is: 100,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.75 : 46,599.05 = 46,599.05 : x
  2. Step 2: Convert to fraction form
    21,687.75/46,599.05 = 46,599.05/x
  3. Step 3: Cross multiply
    21,687.75x = 46,599.05 × 46,599.05
  4. Step 4: Simplify right side
    21,687.75x = 2,171,471,169.66
  5. Step 5: Solve for x
    x = 2,171,471,169.66/21,687.75
  6. Step 6: Final answer
    x = 100,124.32

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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.