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Finding the Third Proportional to 27,512 and 57,724

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Solution

The third proportional to 27,512 and 57,724 is: 121,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 57,724 = 57,724 : x
  2. Step 2: Convert to fraction form
    27,512/57,724 = 57,724/x
  3. Step 3: Cross multiply
    27,512x = 57,724 × 57,724
  4. Step 4: Simplify right side
    27,512x = 3,332,060,176
  5. Step 5: Solve for x
    x = 3,332,060,176/27,512
  6. Step 6: Final answer
    x = 121,112.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.