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Finding the Third Proportional to 19,892.25 and 43,475.25

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Solution

The third proportional to 19,892.25 and 43,475.25 is: 95,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.25 : 43,475.25 = 43,475.25 : x
  2. Step 2: Convert to fraction form
    19,892.25/43,475.25 = 43,475.25/x
  3. Step 3: Cross multiply
    19,892.25x = 43,475.25 × 43,475.25
  4. Step 4: Simplify right side
    19,892.25x = 1,890,097,362.56
  5. Step 5: Solve for x
    x = 1,890,097,362.56/19,892.25
  6. Step 6: Final answer
    x = 95,016.77

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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.