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Finding the Third Proportional to 9,015.75 and 19,418.06

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Solution

The third proportional to 9,015.75 and 19,418.06 is: 41,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.75 : 19,418.06 = 19,418.06 : x
  2. Step 2: Convert to fraction form
    9,015.75/19,418.06 = 19,418.06/x
  3. Step 3: Cross multiply
    9,015.75x = 19,418.06 × 19,418.06
  4. Step 4: Simplify right side
    9,015.75x = 377,061,151.25
  5. Step 5: Solve for x
    x = 377,061,151.25/9,015.75
  6. Step 6: Final answer
    x = 41,822.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.