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Finding the Third Proportional to 26,640 and 41,391

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Solution

The third proportional to 26,640 and 41,391 is: 64,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,640 : 41,391 = 41,391 : x
  2. Step 2: Convert to fraction form
    26,640/41,391 = 41,391/x
  3. Step 3: Cross multiply
    26,640x = 41,391 × 41,391
  4. Step 4: Simplify right side
    26,640x = 1,713,214,881
  5. Step 5: Solve for x
    x = 1,713,214,881/26,640
  6. Step 6: Final answer
    x = 64,309.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.