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Finding the Third Proportional to 12,802 and 27,242

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Solution

The third proportional to 12,802 and 27,242 is: 57,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 27,242 = 27,242 : x
  2. Step 2: Convert to fraction form
    12,802/27,242 = 27,242/x
  3. Step 3: Cross multiply
    12,802x = 27,242 × 27,242
  4. Step 4: Simplify right side
    12,802x = 742,126,564
  5. Step 5: Solve for x
    x = 742,126,564/12,802
  6. Step 6: Final answer
    x = 57,969.58

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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.