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Finding the Third Proportional to 8,619.75 and 19,936.13

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Solution

The third proportional to 8,619.75 and 19,936.13 is: 46,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.75 : 19,936.13 = 19,936.13 : x
  2. Step 2: Convert to fraction form
    8,619.75/19,936.13 = 19,936.13/x
  3. Step 3: Cross multiply
    8,619.75x = 19,936.13 × 19,936.13
  4. Step 4: Simplify right side
    8,619.75x = 397,449,080.02
  5. Step 5: Solve for x
    x = 397,449,080.02/8,619.75
  6. Step 6: Final answer
    x = 46,109.12

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.