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Finding the Third Proportional to 12,802 and 27,260

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Solution

The third proportional to 12,802 and 27,260 is: 58,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 27,260 = 27,260 : x
  2. Step 2: Convert to fraction form
    12,802/27,260 = 27,260/x
  3. Step 3: Cross multiply
    12,802x = 27,260 × 27,260
  4. Step 4: Simplify right side
    12,802x = 743,107,600
  5. Step 5: Solve for x
    x = 743,107,600/12,802
  6. Step 6: Final answer
    x = 58,046.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.