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Finding the Third Proportional to 26,938 and 58,164

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Solution

The third proportional to 26,938 and 58,164 is: 125,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938 : 58,164 = 58,164 : x
  2. Step 2: Convert to fraction form
    26,938/58,164 = 58,164/x
  3. Step 3: Cross multiply
    26,938x = 58,164 × 58,164
  4. Step 4: Simplify right side
    26,938x = 3,383,050,896
  5. Step 5: Solve for x
    x = 3,383,050,896/26,938
  6. Step 6: Final answer
    x = 125,586.57

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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.