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Finding the Third Proportional to 26,486 and 55,128

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Solution

The third proportional to 26,486 and 55,128 is: 114,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486 : 55,128 = 55,128 : x
  2. Step 2: Convert to fraction form
    26,486/55,128 = 55,128/x
  3. Step 3: Cross multiply
    26,486x = 55,128 × 55,128
  4. Step 4: Simplify right side
    26,486x = 3,039,096,384
  5. Step 5: Solve for x
    x = 3,039,096,384/26,486
  6. Step 6: Final answer
    x = 114,743.50

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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.