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Finding the Third Proportional to 26,518 and 55,592

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Solution

The third proportional to 26,518 and 55,592 is: 116,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,518 : 55,592 = 55,592 : x
  2. Step 2: Convert to fraction form
    26,518/55,592 = 55,592/x
  3. Step 3: Cross multiply
    26,518x = 55,592 × 55,592
  4. Step 4: Simplify right side
    26,518x = 3,090,470,464
  5. Step 5: Solve for x
    x = 3,090,470,464/26,518
  6. Step 6: Final answer
    x = 116,542.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.