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Finding the Third Proportional to 26,063 and 53,911

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Solution

The third proportional to 26,063 and 53,911 is: 111,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,063 : 53,911 = 53,911 : x
  2. Step 2: Convert to fraction form
    26,063/53,911 = 53,911/x
  3. Step 3: Cross multiply
    26,063x = 53,911 × 53,911
  4. Step 4: Simplify right side
    26,063x = 2,906,395,921
  5. Step 5: Solve for x
    x = 2,906,395,921/26,063
  6. Step 6: Final answer
    x = 111,514.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.