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Finding the Third Proportional to 44,791 and 67,766

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Solution

The third proportional to 44,791 and 67,766 is: 102,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,791 : 67,766 = 67,766 : x
  2. Step 2: Convert to fraction form
    44,791/67,766 = 67,766/x
  3. Step 3: Cross multiply
    44,791x = 67,766 × 67,766
  4. Step 4: Simplify right side
    44,791x = 4,592,230,756
  5. Step 5: Solve for x
    x = 4,592,230,756/44,791
  6. Step 6: Final answer
    x = 102,525.75

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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.