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Finding the Third Proportional to 27,224 and 58,800

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Solution

The third proportional to 27,224 and 58,800 is: 126,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224 : 58,800 = 58,800 : x
  2. Step 2: Convert to fraction form
    27,224/58,800 = 58,800/x
  3. Step 3: Cross multiply
    27,224x = 58,800 × 58,800
  4. Step 4: Simplify right side
    27,224x = 3,457,440,000
  5. Step 5: Solve for x
    x = 3,457,440,000/27,224
  6. Step 6: Final answer
    x = 126,999.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.