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Finding the Third Proportional to 49,270 and 73,829

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Solution

The third proportional to 49,270 and 73,829 is: 110,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 73,829 = 73,829 : x
  2. Step 2: Convert to fraction form
    49,270/73,829 = 73,829/x
  3. Step 3: Cross multiply
    49,270x = 73,829 × 73,829
  4. Step 4: Simplify right side
    49,270x = 5,450,721,241
  5. Step 5: Solve for x
    x = 5,450,721,241/49,270
  6. Step 6: Final answer
    x = 110,629.62

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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.