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Finding the Third Proportional to 20,814 and 32,899

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Solution

The third proportional to 20,814 and 32,899 is: 52,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814 : 32,899 = 32,899 : x
  2. Step 2: Convert to fraction form
    20,814/32,899 = 32,899/x
  3. Step 3: Cross multiply
    20,814x = 32,899 × 32,899
  4. Step 4: Simplify right side
    20,814x = 1,082,344,201
  5. Step 5: Solve for x
    x = 1,082,344,201/20,814
  6. Step 6: Final answer
    x = 52,000.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.