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Finding the Third Proportional to 12,707 and 27,837

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Solution

The third proportional to 12,707 and 27,837 is: 60,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707 : 27,837 = 27,837 : x
  2. Step 2: Convert to fraction form
    12,707/27,837 = 27,837/x
  3. Step 3: Cross multiply
    12,707x = 27,837 × 27,837
  4. Step 4: Simplify right side
    12,707x = 774,898,569
  5. Step 5: Solve for x
    x = 774,898,569/12,707
  6. Step 6: Final answer
    x = 60,982.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.