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Finding the Third Proportional to 19,796.25 and 42,165.75

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Solution

The third proportional to 19,796.25 and 42,165.75 is: 89,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.25 : 42,165.75 = 42,165.75 : x
  2. Step 2: Convert to fraction form
    19,796.25/42,165.75 = 42,165.75/x
  3. Step 3: Cross multiply
    19,796.25x = 42,165.75 × 42,165.75
  4. Step 4: Simplify right side
    19,796.25x = 1,777,950,473.06
  5. Step 5: Solve for x
    x = 1,777,950,473.06/19,796.25
  6. Step 6: Final answer
    x = 89,812.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.