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Finding the Third Proportional to 21,193 and 32,833

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Solution

The third proportional to 21,193 and 32,833 is: 50,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193 : 32,833 = 32,833 : x
  2. Step 2: Convert to fraction form
    21,193/32,833 = 32,833/x
  3. Step 3: Cross multiply
    21,193x = 32,833 × 32,833
  4. Step 4: Simplify right side
    21,193x = 1,078,005,889
  5. Step 5: Solve for x
    x = 1,078,005,889/21,193
  6. Step 6: Final answer
    x = 50,866.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.