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Finding the Third Proportional to 21,749 and 32,672

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Solution

The third proportional to 21,749 and 32,672 is: 49,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749 : 32,672 = 32,672 : x
  2. Step 2: Convert to fraction form
    21,749/32,672 = 32,672/x
  3. Step 3: Cross multiply
    21,749x = 32,672 × 32,672
  4. Step 4: Simplify right side
    21,749x = 1,067,459,584
  5. Step 5: Solve for x
    x = 1,067,459,584/21,749
  6. Step 6: Final answer
    x = 49,080.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.