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Finding the Third Proportional to 34,112 and 47,766

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Solution

The third proportional to 34,112 and 47,766 is: 66,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112 : 47,766 = 47,766 : x
  2. Step 2: Convert to fraction form
    34,112/47,766 = 47,766/x
  3. Step 3: Cross multiply
    34,112x = 47,766 × 47,766
  4. Step 4: Simplify right side
    34,112x = 2,281,590,756
  5. Step 5: Solve for x
    x = 2,281,590,756/34,112
  6. Step 6: Final answer
    x = 66,885.28

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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.