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Finding the Third Proportional to 26,149 and 56,831

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Solution

The third proportional to 26,149 and 56,831 is: 123,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149 : 56,831 = 56,831 : x
  2. Step 2: Convert to fraction form
    26,149/56,831 = 56,831/x
  3. Step 3: Cross multiply
    26,149x = 56,831 × 56,831
  4. Step 4: Simplify right side
    26,149x = 3,229,762,561
  5. Step 5: Solve for x
    x = 3,229,762,561/26,149
  6. Step 6: Final answer
    x = 123,513.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.