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Finding the Third Proportional to 26,313 and 41,661

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Solution

The third proportional to 26,313 and 41,661 is: 65,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,313 : 41,661 = 41,661 : x
  2. Step 2: Convert to fraction form
    26,313/41,661 = 41,661/x
  3. Step 3: Cross multiply
    26,313x = 41,661 × 41,661
  4. Step 4: Simplify right side
    26,313x = 1,735,638,921
  5. Step 5: Solve for x
    x = 1,735,638,921/26,313
  6. Step 6: Final answer
    x = 65,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.