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Finding the Third Proportional to 21,634 and 32,855

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Solution

The third proportional to 21,634 and 32,855 is: 49,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 32,855 = 32,855 : x
  2. Step 2: Convert to fraction form
    21,634/32,855 = 32,855/x
  3. Step 3: Cross multiply
    21,634x = 32,855 × 32,855
  4. Step 4: Simplify right side
    21,634x = 1,079,451,025
  5. Step 5: Solve for x
    x = 1,079,451,025/21,634
  6. Step 6: Final answer
    x = 49,896.04

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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.