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Finding the Third Proportional to 26,741 and 41,106

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Solution

The third proportional to 26,741 and 41,106 is: 63,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741 : 41,106 = 41,106 : x
  2. Step 2: Convert to fraction form
    26,741/41,106 = 41,106/x
  3. Step 3: Cross multiply
    26,741x = 41,106 × 41,106
  4. Step 4: Simplify right side
    26,741x = 1,689,703,236
  5. Step 5: Solve for x
    x = 1,689,703,236/26,741
  6. Step 6: Final answer
    x = 63,187.74

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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.