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Finding the Third Proportional to 21,834 and 32,859

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Solution

The third proportional to 21,834 and 32,859 is: 49,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 32,859 = 32,859 : x
  2. Step 2: Convert to fraction form
    21,834/32,859 = 32,859/x
  3. Step 3: Cross multiply
    21,834x = 32,859 × 32,859
  4. Step 4: Simplify right side
    21,834x = 1,079,713,881
  5. Step 5: Solve for x
    x = 1,079,713,881/21,834
  6. Step 6: Final answer
    x = 49,451.03

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Why These Related Problems?

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