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Finding the Third Proportional to 20,421 and 32,898

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Solution

The third proportional to 20,421 and 32,898 is: 52,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 32,898 = 32,898 : x
  2. Step 2: Convert to fraction form
    20,421/32,898 = 32,898/x
  3. Step 3: Cross multiply
    20,421x = 32,898 × 32,898
  4. Step 4: Simplify right side
    20,421x = 1,082,278,404
  5. Step 5: Solve for x
    x = 1,082,278,404/20,421
  6. Step 6: Final answer
    x = 52,998.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.