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Finding the Third Proportional to 17,202 and 39,821

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Solution

The third proportional to 17,202 and 39,821 is: 92,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202 : 39,821 = 39,821 : x
  2. Step 2: Convert to fraction form
    17,202/39,821 = 39,821/x
  3. Step 3: Cross multiply
    17,202x = 39,821 × 39,821
  4. Step 4: Simplify right side
    17,202x = 1,585,712,041
  5. Step 5: Solve for x
    x = 1,585,712,041/17,202
  6. Step 6: Final answer
    x = 92,181.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.