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Finding the Third Proportional to 12,673 and 27,677

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Solution

The third proportional to 12,673 and 27,677 is: 60,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673 : 27,677 = 27,677 : x
  2. Step 2: Convert to fraction form
    12,673/27,677 = 27,677/x
  3. Step 3: Cross multiply
    12,673x = 27,677 × 27,677
  4. Step 4: Simplify right side
    12,673x = 766,016,329
  5. Step 5: Solve for x
    x = 766,016,329/12,673
  6. Step 6: Final answer
    x = 60,444.75

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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.