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Finding the Third Proportional to 26,596 and 41,726

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Solution

The third proportional to 26,596 and 41,726 is: 65,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 41,726 = 41,726 : x
  2. Step 2: Convert to fraction form
    26,596/41,726 = 41,726/x
  3. Step 3: Cross multiply
    26,596x = 41,726 × 41,726
  4. Step 4: Simplify right side
    26,596x = 1,741,059,076
  5. Step 5: Solve for x
    x = 1,741,059,076/26,596
  6. Step 6: Final answer
    x = 65,463.19

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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.