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Finding the Third Proportional to 43,702 and 66,827

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Solution

The third proportional to 43,702 and 66,827 is: 102,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,702 : 66,827 = 66,827 : x
  2. Step 2: Convert to fraction form
    43,702/66,827 = 66,827/x
  3. Step 3: Cross multiply
    43,702x = 66,827 × 66,827
  4. Step 4: Simplify right side
    43,702x = 4,465,847,929
  5. Step 5: Solve for x
    x = 4,465,847,929/43,702
  6. Step 6: Final answer
    x = 102,188.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.