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Finding the Third Proportional to 44,649 and 67,551

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Solution

The third proportional to 44,649 and 67,551 is: 102,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,649 : 67,551 = 67,551 : x
  2. Step 2: Convert to fraction form
    44,649/67,551 = 67,551/x
  3. Step 3: Cross multiply
    44,649x = 67,551 × 67,551
  4. Step 4: Simplify right side
    44,649x = 4,563,137,601
  5. Step 5: Solve for x
    x = 4,563,137,601/44,649
  6. Step 6: Final answer
    x = 102,200.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.