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Finding the Third Proportional to 43,383 and 66,714

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Solution

The third proportional to 43,383 and 66,714 is: 102,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,383 : 66,714 = 66,714 : x
  2. Step 2: Convert to fraction form
    43,383/66,714 = 66,714/x
  3. Step 3: Cross multiply
    43,383x = 66,714 × 66,714
  4. Step 4: Simplify right side
    43,383x = 4,450,757,796
  5. Step 5: Solve for x
    x = 4,450,757,796/43,383
  6. Step 6: Final answer
    x = 102,592.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.