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Finding the Third Proportional to 26,419 and 35,982

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Solution

The third proportional to 26,419 and 35,982 is: 49,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419 : 35,982 = 35,982 : x
  2. Step 2: Convert to fraction form
    26,419/35,982 = 35,982/x
  3. Step 3: Cross multiply
    26,419x = 35,982 × 35,982
  4. Step 4: Simplify right side
    26,419x = 1,294,704,324
  5. Step 5: Solve for x
    x = 1,294,704,324/26,419
  6. Step 6: Final answer
    x = 49,006.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.