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Finding the Third Proportional to 19,181.25 and 41,027.06

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Solution

The third proportional to 19,181.25 and 41,027.06 is: 87,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,181.25 : 41,027.06 = 41,027.06 : x
  2. Step 2: Convert to fraction form
    19,181.25/41,027.06 = 41,027.06/x
  3. Step 3: Cross multiply
    19,181.25x = 41,027.06 × 41,027.06
  4. Step 4: Simplify right side
    19,181.25x = 1,683,219,857.38
  5. Step 5: Solve for x
    x = 1,683,219,857.38/19,181.25
  6. Step 6: Final answer
    x = 87,753.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.