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Finding the Third Proportional to 11,864 and 19,412

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Solution

The third proportional to 11,864 and 19,412 is: 31,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864 : 19,412 = 19,412 : x
  2. Step 2: Convert to fraction form
    11,864/19,412 = 19,412/x
  3. Step 3: Cross multiply
    11,864x = 19,412 × 19,412
  4. Step 4: Simplify right side
    11,864x = 376,825,744
  5. Step 5: Solve for x
    x = 376,825,744/11,864
  6. Step 6: Final answer
    x = 31,762.12

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.