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Finding the Third Proportional to 19,786.50 and 42,664.50

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Solution

The third proportional to 19,786.50 and 42,664.50 is: 91,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.50 : 42,664.50 = 42,664.50 : x
  2. Step 2: Convert to fraction form
    19,786.50/42,664.50 = 42,664.50/x
  3. Step 3: Cross multiply
    19,786.50x = 42,664.50 × 42,664.50
  4. Step 4: Simplify right side
    19,786.50x = 1,820,259,560.25
  5. Step 5: Solve for x
    x = 1,820,259,560.25/19,786.50
  6. Step 6: Final answer
    x = 91,995.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.