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Finding the Third Proportional to 39,738 and 55,698

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Solution

The third proportional to 39,738 and 55,698 is: 78,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,738 : 55,698 = 55,698 : x
  2. Step 2: Convert to fraction form
    39,738/55,698 = 55,698/x
  3. Step 3: Cross multiply
    39,738x = 55,698 × 55,698
  4. Step 4: Simplify right side
    39,738x = 3,102,267,204
  5. Step 5: Solve for x
    x = 3,102,267,204/39,738
  6. Step 6: Final answer
    x = 78,068.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.