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Finding the Third Proportional to 26,208 and 57,399

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Solution

The third proportional to 26,208 and 57,399 is: 125,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 57,399 = 57,399 : x
  2. Step 2: Convert to fraction form
    26,208/57,399 = 57,399/x
  3. Step 3: Cross multiply
    26,208x = 57,399 × 57,399
  4. Step 4: Simplify right side
    26,208x = 3,294,645,201
  5. Step 5: Solve for x
    x = 3,294,645,201/26,208
  6. Step 6: Final answer
    x = 125,711.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.