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Finding the Third Proportional to 13,239 and 26,142

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Solution

The third proportional to 13,239 and 26,142 is: 51,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239 : 26,142 = 26,142 : x
  2. Step 2: Convert to fraction form
    13,239/26,142 = 26,142/x
  3. Step 3: Cross multiply
    13,239x = 26,142 × 26,142
  4. Step 4: Simplify right side
    13,239x = 683,404,164
  5. Step 5: Solve for x
    x = 683,404,164/13,239
  6. Step 6: Final answer
    x = 51,620.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.