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Finding the Third Proportional to 37,647 and 81,495

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Solution

The third proportional to 37,647 and 81,495 is: 176,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647 : 81,495 = 81,495 : x
  2. Step 2: Convert to fraction form
    37,647/81,495 = 81,495/x
  3. Step 3: Cross multiply
    37,647x = 81,495 × 81,495
  4. Step 4: Simplify right side
    37,647x = 6,641,435,025
  5. Step 5: Solve for x
    x = 6,641,435,025/37,647
  6. Step 6: Final answer
    x = 176,413.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.