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Finding the Third Proportional to 26,238 and 55,440

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Solution

The third proportional to 26,238 and 55,440 is: 117,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,238 : 55,440 = 55,440 : x
  2. Step 2: Convert to fraction form
    26,238/55,440 = 55,440/x
  3. Step 3: Cross multiply
    26,238x = 55,440 × 55,440
  4. Step 4: Simplify right side
    26,238x = 3,073,593,600
  5. Step 5: Solve for x
    x = 3,073,593,600/26,238
  6. Step 6: Final answer
    x = 117,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.