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Finding the Third Proportional to 17,069 and 26,717

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Solution

The third proportional to 17,069 and 26,717 is: 41,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,069 : 26,717 = 26,717 : x
  2. Step 2: Convert to fraction form
    17,069/26,717 = 26,717/x
  3. Step 3: Cross multiply
    17,069x = 26,717 × 26,717
  4. Step 4: Simplify right side
    17,069x = 713,798,089
  5. Step 5: Solve for x
    x = 713,798,089/17,069
  6. Step 6: Final answer
    x = 41,818.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.