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Finding the Third Proportional to 20,082 and 26,829

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Solution

The third proportional to 20,082 and 26,829 is: 35,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082 : 26,829 = 26,829 : x
  2. Step 2: Convert to fraction form
    20,082/26,829 = 26,829/x
  3. Step 3: Cross multiply
    20,082x = 26,829 × 26,829
  4. Step 4: Simplify right side
    20,082x = 719,795,241
  5. Step 5: Solve for x
    x = 719,795,241/20,082
  6. Step 6: Final answer
    x = 35,842.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.