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Finding the Third Proportional to 12,097 and 26,267

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Solution

The third proportional to 12,097 and 26,267 is: 57,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 26,267 = 26,267 : x
  2. Step 2: Convert to fraction form
    12,097/26,267 = 26,267/x
  3. Step 3: Cross multiply
    12,097x = 26,267 × 26,267
  4. Step 4: Simplify right side
    12,097x = 689,955,289
  5. Step 5: Solve for x
    x = 689,955,289/12,097
  6. Step 6: Final answer
    x = 57,035.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.