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Finding the Third Proportional to 19,629.75 and 42,997.78

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Solution

The third proportional to 19,629.75 and 42,997.78 is: 94,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629.75 : 42,997.78 = 42,997.78 : x
  2. Step 2: Convert to fraction form
    19,629.75/42,997.78 = 42,997.78/x
  3. Step 3: Cross multiply
    19,629.75x = 42,997.78 × 42,997.78
  4. Step 4: Simplify right side
    19,629.75x = 1,848,809,192.42
  5. Step 5: Solve for x
    x = 1,848,809,192.42/19,629.75
  6. Step 6: Final answer
    x = 94,184.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.