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Finding the Third Proportional to 17,885.25 and 38,846.06

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Solution

The third proportional to 17,885.25 and 38,846.06 is: 84,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.25 : 38,846.06 = 38,846.06 : x
  2. Step 2: Convert to fraction form
    17,885.25/38,846.06 = 38,846.06/x
  3. Step 3: Cross multiply
    17,885.25x = 38,846.06 × 38,846.06
  4. Step 4: Simplify right side
    17,885.25x = 1,509,016,571.75
  5. Step 5: Solve for x
    x = 1,509,016,571.75/17,885.25
  6. Step 6: Final answer
    x = 84,372.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.