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Finding the Third Proportional to 27,265 and 58,475

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Solution

The third proportional to 27,265 and 58,475 is: 125,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265 : 58,475 = 58,475 : x
  2. Step 2: Convert to fraction form
    27,265/58,475 = 58,475/x
  3. Step 3: Cross multiply
    27,265x = 58,475 × 58,475
  4. Step 4: Simplify right side
    27,265x = 3,419,325,625
  5. Step 5: Solve for x
    x = 3,419,325,625/27,265
  6. Step 6: Final answer
    x = 125,410.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.