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Finding the Third Proportional to 26,518 and 58,138

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Solution

The third proportional to 26,518 and 58,138 is: 127,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,518 : 58,138 = 58,138 : x
  2. Step 2: Convert to fraction form
    26,518/58,138 = 58,138/x
  3. Step 3: Cross multiply
    26,518x = 58,138 × 58,138
  4. Step 4: Simplify right side
    26,518x = 3,380,027,044
  5. Step 5: Solve for x
    x = 3,380,027,044/26,518
  6. Step 6: Final answer
    x = 127,461.61

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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.