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Finding the Third Proportional to 27,267 and 58,419

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Solution

The third proportional to 27,267 and 58,419 is: 125,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267 : 58,419 = 58,419 : x
  2. Step 2: Convert to fraction form
    27,267/58,419 = 58,419/x
  3. Step 3: Cross multiply
    27,267x = 58,419 × 58,419
  4. Step 4: Simplify right side
    27,267x = 3,412,779,561
  5. Step 5: Solve for x
    x = 3,412,779,561/27,267
  6. Step 6: Final answer
    x = 125,161.53

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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.