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Finding the Third Proportional to 20,898 and 32,003

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Solution

The third proportional to 20,898 and 32,003 is: 49,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 32,003 = 32,003 : x
  2. Step 2: Convert to fraction form
    20,898/32,003 = 32,003/x
  3. Step 3: Cross multiply
    20,898x = 32,003 × 32,003
  4. Step 4: Simplify right side
    20,898x = 1,024,192,009
  5. Step 5: Solve for x
    x = 1,024,192,009/20,898
  6. Step 6: Final answer
    x = 49,009.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.