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Finding the Third Proportional to 12,828 and 27,842

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Solution

The third proportional to 12,828 and 27,842 is: 60,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 27,842 = 27,842 : x
  2. Step 2: Convert to fraction form
    12,828/27,842 = 27,842/x
  3. Step 3: Cross multiply
    12,828x = 27,842 × 27,842
  4. Step 4: Simplify right side
    12,828x = 775,176,964
  5. Step 5: Solve for x
    x = 775,176,964/12,828
  6. Step 6: Final answer
    x = 60,428.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.