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Finding the Third Proportional to 21,843 and 32,945

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Solution

The third proportional to 21,843 and 32,945 is: 49,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 32,945 = 32,945 : x
  2. Step 2: Convert to fraction form
    21,843/32,945 = 32,945/x
  3. Step 3: Cross multiply
    21,843x = 32,945 × 32,945
  4. Step 4: Simplify right side
    21,843x = 1,085,373,025
  5. Step 5: Solve for x
    x = 1,085,373,025/21,843
  6. Step 6: Final answer
    x = 49,689.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.