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Finding the Third Proportional to 18,084.75 and 39,617.25

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Solution

The third proportional to 18,084.75 and 39,617.25 is: 86,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084.75 : 39,617.25 = 39,617.25 : x
  2. Step 2: Convert to fraction form
    18,084.75/39,617.25 = 39,617.25/x
  3. Step 3: Cross multiply
    18,084.75x = 39,617.25 × 39,617.25
  4. Step 4: Simplify right side
    18,084.75x = 1,569,526,497.56
  5. Step 5: Solve for x
    x = 1,569,526,497.56/18,084.75
  6. Step 6: Final answer
    x = 86,787.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.