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Finding the Third Proportional to 17,767 and 27,379

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Solution

The third proportional to 17,767 and 27,379 is: 42,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767 : 27,379 = 27,379 : x
  2. Step 2: Convert to fraction form
    17,767/27,379 = 27,379/x
  3. Step 3: Cross multiply
    17,767x = 27,379 × 27,379
  4. Step 4: Simplify right side
    17,767x = 749,609,641
  5. Step 5: Solve for x
    x = 749,609,641/17,767
  6. Step 6: Final answer
    x = 42,191.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.