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Finding the Third Proportional to 12,828 and 27,500

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Solution

The third proportional to 12,828 and 27,500 is: 58,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 27,500 = 27,500 : x
  2. Step 2: Convert to fraction form
    12,828/27,500 = 27,500/x
  3. Step 3: Cross multiply
    12,828x = 27,500 × 27,500
  4. Step 4: Simplify right side
    12,828x = 756,250,000
  5. Step 5: Solve for x
    x = 756,250,000/12,828
  6. Step 6: Final answer
    x = 58,953.07

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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.