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Finding the Third Proportional to 26,913 and 58,956

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Solution

The third proportional to 26,913 and 58,956 is: 129,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,913 : 58,956 = 58,956 : x
  2. Step 2: Convert to fraction form
    26,913/58,956 = 58,956/x
  3. Step 3: Cross multiply
    26,913x = 58,956 × 58,956
  4. Step 4: Simplify right side
    26,913x = 3,475,809,936
  5. Step 5: Solve for x
    x = 3,475,809,936/26,913
  6. Step 6: Final answer
    x = 129,149.85

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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.