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Finding the Third Proportional to 43,796 and 66,787

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Solution

The third proportional to 43,796 and 66,787 is: 101,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,796 : 66,787 = 66,787 : x
  2. Step 2: Convert to fraction form
    43,796/66,787 = 66,787/x
  3. Step 3: Cross multiply
    43,796x = 66,787 × 66,787
  4. Step 4: Simplify right side
    43,796x = 4,460,503,369
  5. Step 5: Solve for x
    x = 4,460,503,369/43,796
  6. Step 6: Final answer
    x = 101,847.28

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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.