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Finding the Third Proportional to 19,911 and 27,057

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Solution

The third proportional to 19,911 and 27,057 is: 36,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911 : 27,057 = 27,057 : x
  2. Step 2: Convert to fraction form
    19,911/27,057 = 27,057/x
  3. Step 3: Cross multiply
    19,911x = 27,057 × 27,057
  4. Step 4: Simplify right side
    19,911x = 732,081,249
  5. Step 5: Solve for x
    x = 732,081,249/19,911
  6. Step 6: Final answer
    x = 36,767.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.