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Finding the Third Proportional to 26,698 and 57,436

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Solution

The third proportional to 26,698 and 57,436 is: 123,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698 : 57,436 = 57,436 : x
  2. Step 2: Convert to fraction form
    26,698/57,436 = 57,436/x
  3. Step 3: Cross multiply
    26,698x = 57,436 × 57,436
  4. Step 4: Simplify right side
    26,698x = 3,298,894,096
  5. Step 5: Solve for x
    x = 3,298,894,096/26,698
  6. Step 6: Final answer
    x = 123,563.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.