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Finding the Third Proportional to 12,747.69 and 27,247

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Solution

The third proportional to 12,747.69 and 27,247 is: 58,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.69 : 27,247 = 27,247 : x
  2. Step 2: Convert to fraction form
    12,747.69/27,247 = 27,247/x
  3. Step 3: Cross multiply
    12,747.69x = 27,247 × 27,247
  4. Step 4: Simplify right side
    12,747.69x = 742,399,009
  5. Step 5: Solve for x
    x = 742,399,009/12,747.69
  6. Step 6: Final answer
    x = 58,237.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.