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Finding the Third Proportional to 4,116 and 9,012.75

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Solution

The third proportional to 4,116 and 9,012.75 is: 19,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 9,012.75 = 9,012.75 : x
  2. Step 2: Convert to fraction form
    4,116/9,012.75 = 9,012.75/x
  3. Step 3: Cross multiply
    4,116x = 9,012.75 × 9,012.75
  4. Step 4: Simplify right side
    4,116x = 81,229,662.56
  5. Step 5: Solve for x
    x = 81,229,662.56/4,116
  6. Step 6: Final answer
    x = 19,735.10

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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.