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Finding the Third Proportional to 26,404 and 53,882

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Solution

The third proportional to 26,404 and 53,882 is: 109,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,404 : 53,882 = 53,882 : x
  2. Step 2: Convert to fraction form
    26,404/53,882 = 53,882/x
  3. Step 3: Cross multiply
    26,404x = 53,882 × 53,882
  4. Step 4: Simplify right side
    26,404x = 2,903,269,924
  5. Step 5: Solve for x
    x = 2,903,269,924/26,404
  6. Step 6: Final answer
    x = 109,955.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.