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Finding the Third Proportional to 34,837 and 52,334

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Solution

The third proportional to 34,837 and 52,334 is: 78,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,837 : 52,334 = 52,334 : x
  2. Step 2: Convert to fraction form
    34,837/52,334 = 52,334/x
  3. Step 3: Cross multiply
    34,837x = 52,334 × 52,334
  4. Step 4: Simplify right side
    34,837x = 2,738,847,556
  5. Step 5: Solve for x
    x = 2,738,847,556/34,837
  6. Step 6: Final answer
    x = 78,618.93

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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.