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Finding the Third Proportional to 26,419 and 62,384

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Solution

The third proportional to 26,419 and 62,384 is: 147,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419 : 62,384 = 62,384 : x
  2. Step 2: Convert to fraction form
    26,419/62,384 = 62,384/x
  3. Step 3: Cross multiply
    26,419x = 62,384 × 62,384
  4. Step 4: Simplify right side
    26,419x = 3,891,763,456
  5. Step 5: Solve for x
    x = 3,891,763,456/26,419
  6. Step 6: Final answer
    x = 147,309.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.