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Finding the Third Proportional to 12,794 and 27,952

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Solution

The third proportional to 12,794 and 27,952 is: 61,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 27,952 = 27,952 : x
  2. Step 2: Convert to fraction form
    12,794/27,952 = 27,952/x
  3. Step 3: Cross multiply
    12,794x = 27,952 × 27,952
  4. Step 4: Simplify right side
    12,794x = 781,314,304
  5. Step 5: Solve for x
    x = 781,314,304/12,794
  6. Step 6: Final answer
    x = 61,068.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.