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Finding the Third Proportional to 30,738 and 41,717

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Solution

The third proportional to 30,738 and 41,717 is: 56,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738 : 41,717 = 41,717 : x
  2. Step 2: Convert to fraction form
    30,738/41,717 = 41,717/x
  3. Step 3: Cross multiply
    30,738x = 41,717 × 41,717
  4. Step 4: Simplify right side
    30,738x = 1,740,308,089
  5. Step 5: Solve for x
    x = 1,740,308,089/30,738
  6. Step 6: Final answer
    x = 56,617.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.