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Finding the Third Proportional to 26,436 and 57,229

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Solution

The third proportional to 26,436 and 57,229 is: 123,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436 : 57,229 = 57,229 : x
  2. Step 2: Convert to fraction form
    26,436/57,229 = 57,229/x
  3. Step 3: Cross multiply
    26,436x = 57,229 × 57,229
  4. Step 4: Simplify right side
    26,436x = 3,275,158,441
  5. Step 5: Solve for x
    x = 3,275,158,441/26,436
  6. Step 6: Final answer
    x = 123,890.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.