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Finding the Third Proportional to 26,625 and 58,326

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Solution

The third proportional to 26,625 and 58,326 is: 127,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,625 : 58,326 = 58,326 : x
  2. Step 2: Convert to fraction form
    26,625/58,326 = 58,326/x
  3. Step 3: Cross multiply
    26,625x = 58,326 × 58,326
  4. Step 4: Simplify right side
    26,625x = 3,401,922,276
  5. Step 5: Solve for x
    x = 3,401,922,276/26,625
  6. Step 6: Final answer
    x = 127,771.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.