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Finding the Third Proportional to 26,742 and 41,543

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Solution

The third proportional to 26,742 and 41,543 is: 64,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 41,543 = 41,543 : x
  2. Step 2: Convert to fraction form
    26,742/41,543 = 41,543/x
  3. Step 3: Cross multiply
    26,742x = 41,543 × 41,543
  4. Step 4: Simplify right side
    26,742x = 1,725,820,849
  5. Step 5: Solve for x
    x = 1,725,820,849/26,742
  6. Step 6: Final answer
    x = 64,535.97

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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.