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Finding the Third Proportional to 12,644 and 27,592

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Solution

The third proportional to 12,644 and 27,592 is: 60,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644 : 27,592 = 27,592 : x
  2. Step 2: Convert to fraction form
    12,644/27,592 = 27,592/x
  3. Step 3: Cross multiply
    12,644x = 27,592 × 27,592
  4. Step 4: Simplify right side
    12,644x = 761,318,464
  5. Step 5: Solve for x
    x = 761,318,464/12,644
  6. Step 6: Final answer
    x = 60,211.84

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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.