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Finding the Third Proportional to 27,291 and 58,732

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Solution

The third proportional to 27,291 and 58,732 is: 126,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 58,732 = 58,732 : x
  2. Step 2: Convert to fraction form
    27,291/58,732 = 58,732/x
  3. Step 3: Cross multiply
    27,291x = 58,732 × 58,732
  4. Step 4: Simplify right side
    27,291x = 3,449,447,824
  5. Step 5: Solve for x
    x = 3,449,447,824/27,291
  6. Step 6: Final answer
    x = 126,395.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.