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Finding the Third Proportional to 17,313 and 26,697

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Solution

The third proportional to 17,313 and 26,697 is: 41,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313 : 26,697 = 26,697 : x
  2. Step 2: Convert to fraction form
    17,313/26,697 = 26,697/x
  3. Step 3: Cross multiply
    17,313x = 26,697 × 26,697
  4. Step 4: Simplify right side
    17,313x = 712,729,809
  5. Step 5: Solve for x
    x = 712,729,809/17,313
  6. Step 6: Final answer
    x = 41,167.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.