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Finding the Third Proportional to 27,423 and 58,734

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Solution

The third proportional to 27,423 and 58,734 is: 125,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423 : 58,734 = 58,734 : x
  2. Step 2: Convert to fraction form
    27,423/58,734 = 58,734/x
  3. Step 3: Cross multiply
    27,423x = 58,734 × 58,734
  4. Step 4: Simplify right side
    27,423x = 3,449,682,756
  5. Step 5: Solve for x
    x = 3,449,682,756/27,423
  6. Step 6: Final answer
    x = 125,795.24

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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.