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Finding the Third Proportional to 27,686 and 58,834

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Solution

The third proportional to 27,686 and 58,834 is: 125,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686 : 58,834 = 58,834 : x
  2. Step 2: Convert to fraction form
    27,686/58,834 = 58,834/x
  3. Step 3: Cross multiply
    27,686x = 58,834 × 58,834
  4. Step 4: Simplify right side
    27,686x = 3,461,439,556
  5. Step 5: Solve for x
    x = 3,461,439,556/27,686
  6. Step 6: Final answer
    x = 125,024.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.