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Finding the Third Proportional to 26,257 and 54,728

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Solution

The third proportional to 26,257 and 54,728 is: 114,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257 : 54,728 = 54,728 : x
  2. Step 2: Convert to fraction form
    26,257/54,728 = 54,728/x
  3. Step 3: Cross multiply
    26,257x = 54,728 × 54,728
  4. Step 4: Simplify right side
    26,257x = 2,995,153,984
  5. Step 5: Solve for x
    x = 2,995,153,984/26,257
  6. Step 6: Final answer
    x = 114,070.69

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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.