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Finding the Third Proportional to 39,041 and 55,783

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Solution

The third proportional to 39,041 and 55,783 is: 79,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,041 : 55,783 = 55,783 : x
  2. Step 2: Convert to fraction form
    39,041/55,783 = 55,783/x
  3. Step 3: Cross multiply
    39,041x = 55,783 × 55,783
  4. Step 4: Simplify right side
    39,041x = 3,111,743,089
  5. Step 5: Solve for x
    x = 3,111,743,089/39,041
  6. Step 6: Final answer
    x = 79,704.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.