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Finding the Third Proportional to 26,435 and 57,226

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Solution

The third proportional to 26,435 and 57,226 is: 123,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435 : 57,226 = 57,226 : x
  2. Step 2: Convert to fraction form
    26,435/57,226 = 57,226/x
  3. Step 3: Cross multiply
    26,435x = 57,226 × 57,226
  4. Step 4: Simplify right side
    26,435x = 3,274,815,076
  5. Step 5: Solve for x
    x = 3,274,815,076/26,435
  6. Step 6: Final answer
    x = 123,881.79

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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.