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Finding the Third Proportional to 26,676 and 58,152

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Solution

The third proportional to 26,676 and 58,152 is: 126,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676 : 58,152 = 58,152 : x
  2. Step 2: Convert to fraction form
    26,676/58,152 = 58,152/x
  3. Step 3: Cross multiply
    26,676x = 58,152 × 58,152
  4. Step 4: Simplify right side
    26,676x = 3,381,655,104
  5. Step 5: Solve for x
    x = 3,381,655,104/26,676
  6. Step 6: Final answer
    x = 126,767.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.