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Finding the Third Proportional to 17,071 and 26,720

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Solution

The third proportional to 17,071 and 26,720 is: 41,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071 : 26,720 = 26,720 : x
  2. Step 2: Convert to fraction form
    17,071/26,720 = 26,720/x
  3. Step 3: Cross multiply
    17,071x = 26,720 × 26,720
  4. Step 4: Simplify right side
    17,071x = 713,958,400
  5. Step 5: Solve for x
    x = 713,958,400/17,071
  6. Step 6: Final answer
    x = 41,822.88

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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.