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Finding the Third Proportional to 43,770 and 63,741

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Solution

The third proportional to 43,770 and 63,741 is: 92,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770 : 63,741 = 63,741 : x
  2. Step 2: Convert to fraction form
    43,770/63,741 = 63,741/x
  3. Step 3: Cross multiply
    43,770x = 63,741 × 63,741
  4. Step 4: Simplify right side
    43,770x = 4,062,915,081
  5. Step 5: Solve for x
    x = 4,062,915,081/43,770
  6. Step 6: Final answer
    x = 92,824.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.