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Finding the Third Proportional to 26,340 and 35,481

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Solution

The third proportional to 26,340 and 35,481 is: 47,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340 : 35,481 = 35,481 : x
  2. Step 2: Convert to fraction form
    26,340/35,481 = 35,481/x
  3. Step 3: Cross multiply
    26,340x = 35,481 × 35,481
  4. Step 4: Simplify right side
    26,340x = 1,258,901,361
  5. Step 5: Solve for x
    x = 1,258,901,361/26,340
  6. Step 6: Final answer
    x = 47,794.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.