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Finding the Third Proportional to 26,813 and 58,913

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Solution

The third proportional to 26,813 and 58,913 is: 129,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813 : 58,913 = 58,913 : x
  2. Step 2: Convert to fraction form
    26,813/58,913 = 58,913/x
  3. Step 3: Cross multiply
    26,813x = 58,913 × 58,913
  4. Step 4: Simplify right side
    26,813x = 3,470,741,569
  5. Step 5: Solve for x
    x = 3,470,741,569/26,813
  6. Step 6: Final answer
    x = 129,442.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.