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Finding the Third Proportional to 20,905 and 32,383

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Solution

The third proportional to 20,905 and 32,383 is: 50,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905 : 32,383 = 32,383 : x
  2. Step 2: Convert to fraction form
    20,905/32,383 = 32,383/x
  3. Step 3: Cross multiply
    20,905x = 32,383 × 32,383
  4. Step 4: Simplify right side
    20,905x = 1,048,658,689
  5. Step 5: Solve for x
    x = 1,048,658,689/20,905
  6. Step 6: Final answer
    x = 50,163.06

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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.