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Finding the Third Proportional to 17,994 and 27,111

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Solution

The third proportional to 17,994 and 27,111 is: 40,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,994 : 27,111 = 27,111 : x
  2. Step 2: Convert to fraction form
    17,994/27,111 = 27,111/x
  3. Step 3: Cross multiply
    17,994x = 27,111 × 27,111
  4. Step 4: Simplify right side
    17,994x = 735,006,321
  5. Step 5: Solve for x
    x = 735,006,321/17,994
  6. Step 6: Final answer
    x = 40,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.