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Finding the Third Proportional to 39,888 and 83,907

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Solution

The third proportional to 39,888 and 83,907 is: 176,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,888 : 83,907 = 83,907 : x
  2. Step 2: Convert to fraction form
    39,888/83,907 = 83,907/x
  3. Step 3: Cross multiply
    39,888x = 83,907 × 83,907
  4. Step 4: Simplify right side
    39,888x = 7,040,384,649
  5. Step 5: Solve for x
    x = 7,040,384,649/39,888
  6. Step 6: Final answer
    x = 176,503.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.