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Finding the Third Proportional to 49,041 and 69,059.25

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Solution

The third proportional to 49,041 and 69,059.25 is: 97,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041 : 69,059.25 = 69,059.25 : x
  2. Step 2: Convert to fraction form
    49,041/69,059.25 = 69,059.25/x
  3. Step 3: Cross multiply
    49,041x = 69,059.25 × 69,059.25
  4. Step 4: Simplify right side
    49,041x = 4,769,180,010.56
  5. Step 5: Solve for x
    x = 4,769,180,010.56/49,041
  6. Step 6: Final answer
    x = 97,248.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.