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Finding the Third Proportional to 27,828 and 60,380

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Solution

The third proportional to 27,828 and 60,380 is: 131,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 60,380 = 60,380 : x
  2. Step 2: Convert to fraction form
    27,828/60,380 = 60,380/x
  3. Step 3: Cross multiply
    27,828x = 60,380 × 60,380
  4. Step 4: Simplify right side
    27,828x = 3,645,744,400
  5. Step 5: Solve for x
    x = 3,645,744,400/27,828
  6. Step 6: Final answer
    x = 131,009.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.