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Finding the Third Proportional to 26,763 and 41,442

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Solution

The third proportional to 26,763 and 41,442 is: 64,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,763 : 41,442 = 41,442 : x
  2. Step 2: Convert to fraction form
    26,763/41,442 = 41,442/x
  3. Step 3: Cross multiply
    26,763x = 41,442 × 41,442
  4. Step 4: Simplify right side
    26,763x = 1,717,439,364
  5. Step 5: Solve for x
    x = 1,717,439,364/26,763
  6. Step 6: Final answer
    x = 64,172.15

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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.