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Finding the Third Proportional to 26,973 and 56,105

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Solution

The third proportional to 26,973 and 56,105 is: 116,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973 : 56,105 = 56,105 : x
  2. Step 2: Convert to fraction form
    26,973/56,105 = 56,105/x
  3. Step 3: Cross multiply
    26,973x = 56,105 × 56,105
  4. Step 4: Simplify right side
    26,973x = 3,147,771,025
  5. Step 5: Solve for x
    x = 3,147,771,025/26,973
  6. Step 6: Final answer
    x = 116,700.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.