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Finding the Third Proportional to 27,720 and 59,324

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Solution

The third proportional to 27,720 and 59,324 is: 126,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 59,324 = 59,324 : x
  2. Step 2: Convert to fraction form
    27,720/59,324 = 59,324/x
  3. Step 3: Cross multiply
    27,720x = 59,324 × 59,324
  4. Step 4: Simplify right side
    27,720x = 3,519,336,976
  5. Step 5: Solve for x
    x = 3,519,336,976/27,720
  6. Step 6: Final answer
    x = 126,960.21

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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.