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Finding the Third Proportional to 26,538 and 58,182

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Solution

The third proportional to 26,538 and 58,182 is: 127,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 58,182 = 58,182 : x
  2. Step 2: Convert to fraction form
    26,538/58,182 = 58,182/x
  3. Step 3: Cross multiply
    26,538x = 58,182 × 58,182
  4. Step 4: Simplify right side
    26,538x = 3,385,145,124
  5. Step 5: Solve for x
    x = 3,385,145,124/26,538
  6. Step 6: Final answer
    x = 127,558.41

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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.