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Finding the Third Proportional to 12,009 and 27,919

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Solution

The third proportional to 12,009 and 27,919 is: 64,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009 : 27,919 = 27,919 : x
  2. Step 2: Convert to fraction form
    12,009/27,919 = 27,919/x
  3. Step 3: Cross multiply
    12,009x = 27,919 × 27,919
  4. Step 4: Simplify right side
    12,009x = 779,470,561
  5. Step 5: Solve for x
    x = 779,470,561/12,009
  6. Step 6: Final answer
    x = 64,907.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.