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Finding the Third Proportional to 17,021 and 25,883

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Solution

The third proportional to 17,021 and 25,883 is: 39,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,021 : 25,883 = 25,883 : x
  2. Step 2: Convert to fraction form
    17,021/25,883 = 25,883/x
  3. Step 3: Cross multiply
    17,021x = 25,883 × 25,883
  4. Step 4: Simplify right side
    17,021x = 669,929,689
  5. Step 5: Solve for x
    x = 669,929,689/17,021
  6. Step 6: Final answer
    x = 39,359.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.