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Finding the Third Proportional to 4,016.14 and 8,635.99

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Solution

The third proportional to 4,016.14 and 8,635.99 is: 18,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.14 : 8,635.99 = 8,635.99 : x
  2. Step 2: Convert to fraction form
    4,016.14/8,635.99 = 8,635.99/x
  3. Step 3: Cross multiply
    4,016.14x = 8,635.99 × 8,635.99
  4. Step 4: Simplify right side
    4,016.14x = 74,580,361.06
  5. Step 5: Solve for x
    x = 74,580,361.06/4,016.14
  6. Step 6: Final answer
    x = 18,570.14

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Why These Related Problems?

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