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Finding the Third Proportional to 34,842 and 52,266

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Solution

The third proportional to 34,842 and 52,266 is: 78,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842 : 52,266 = 52,266 : x
  2. Step 2: Convert to fraction form
    34,842/52,266 = 52,266/x
  3. Step 3: Cross multiply
    34,842x = 52,266 × 52,266
  4. Step 4: Simplify right side
    34,842x = 2,731,734,756
  5. Step 5: Solve for x
    x = 2,731,734,756/34,842
  6. Step 6: Final answer
    x = 78,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.