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Finding the Third Proportional to 12,208 and 26,143

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Solution

The third proportional to 12,208 and 26,143 is: 55,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208 : 26,143 = 26,143 : x
  2. Step 2: Convert to fraction form
    12,208/26,143 = 26,143/x
  3. Step 3: Cross multiply
    12,208x = 26,143 × 26,143
  4. Step 4: Simplify right side
    12,208x = 683,456,449
  5. Step 5: Solve for x
    x = 683,456,449/12,208
  6. Step 6: Final answer
    x = 55,984.31

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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.