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Finding the Third Proportional to 30,821 and 44,041

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Solution

The third proportional to 30,821 and 44,041 is: 62,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821 : 44,041 = 44,041 : x
  2. Step 2: Convert to fraction form
    30,821/44,041 = 44,041/x
  3. Step 3: Cross multiply
    30,821x = 44,041 × 44,041
  4. Step 4: Simplify right side
    30,821x = 1,939,609,681
  5. Step 5: Solve for x
    x = 1,939,609,681/30,821
  6. Step 6: Final answer
    x = 62,931.43

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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.