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Finding the Third Proportional to 44,226 and 67,041

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Solution

The third proportional to 44,226 and 67,041 is: 101,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,226 : 67,041 = 67,041 : x
  2. Step 2: Convert to fraction form
    44,226/67,041 = 67,041/x
  3. Step 3: Cross multiply
    44,226x = 67,041 × 67,041
  4. Step 4: Simplify right side
    44,226x = 4,494,495,681
  5. Step 5: Solve for x
    x = 4,494,495,681/44,226
  6. Step 6: Final answer
    x = 101,625.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.