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Finding the Third Proportional to 34,556 and 49,947

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Solution

The third proportional to 34,556 and 49,947 is: 72,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,556 : 49,947 = 49,947 : x
  2. Step 2: Convert to fraction form
    34,556/49,947 = 49,947/x
  3. Step 3: Cross multiply
    34,556x = 49,947 × 49,947
  4. Step 4: Simplify right side
    34,556x = 2,494,702,809
  5. Step 5: Solve for x
    x = 2,494,702,809/34,556
  6. Step 6: Final answer
    x = 72,193.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.