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Finding the Third Proportional to 27,518.50 and 60,311

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Solution

The third proportional to 27,518.50 and 60,311 is: 132,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,518.50 : 60,311 = 60,311 : x
  2. Step 2: Convert to fraction form
    27,518.50/60,311 = 60,311/x
  3. Step 3: Cross multiply
    27,518.50x = 60,311 × 60,311
  4. Step 4: Simplify right side
    27,518.50x = 3,637,416,721
  5. Step 5: Solve for x
    x = 3,637,416,721/27,518.50
  6. Step 6: Final answer
    x = 132,180.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.