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Finding the Third Proportional to 12,906 and 26,996.63

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Solution

The third proportional to 12,906 and 26,996.63 is: 56,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906 : 26,996.63 = 26,996.63 : x
  2. Step 2: Convert to fraction form
    12,906/26,996.63 = 26,996.63/x
  3. Step 3: Cross multiply
    12,906x = 26,996.63 × 26,996.63
  4. Step 4: Simplify right side
    12,906x = 728,817,761.39
  5. Step 5: Solve for x
    x = 728,817,761.39/12,906
  6. Step 6: Final answer
    x = 56,471.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.