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Finding the Third Proportional to 12,614 and 26,881

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Solution

The third proportional to 12,614 and 26,881 is: 57,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614 : 26,881 = 26,881 : x
  2. Step 2: Convert to fraction form
    12,614/26,881 = 26,881/x
  3. Step 3: Cross multiply
    12,614x = 26,881 × 26,881
  4. Step 4: Simplify right side
    12,614x = 722,588,161
  5. Step 5: Solve for x
    x = 722,588,161/12,614
  6. Step 6: Final answer
    x = 57,284.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.