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Finding the Third Proportional to 12,782 and 27,996

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Solution

The third proportional to 12,782 and 27,996 is: 61,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782 : 27,996 = 27,996 : x
  2. Step 2: Convert to fraction form
    12,782/27,996 = 27,996/x
  3. Step 3: Cross multiply
    12,782x = 27,996 × 27,996
  4. Step 4: Simplify right side
    12,782x = 783,776,016
  5. Step 5: Solve for x
    x = 783,776,016/12,782
  6. Step 6: Final answer
    x = 61,318.73

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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.