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Finding the Third Proportional to 26,340 and 36,582

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Solution

The third proportional to 26,340 and 36,582 is: 50,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340 : 36,582 = 36,582 : x
  2. Step 2: Convert to fraction form
    26,340/36,582 = 36,582/x
  3. Step 3: Cross multiply
    26,340x = 36,582 × 36,582
  4. Step 4: Simplify right side
    26,340x = 1,338,242,724
  5. Step 5: Solve for x
    x = 1,338,242,724/26,340
  6. Step 6: Final answer
    x = 50,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.