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Finding the Third Proportional to 11,777 and 17,690.75

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Solution

The third proportional to 11,777 and 17,690.75 is: 26,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777 : 17,690.75 = 17,690.75 : x
  2. Step 2: Convert to fraction form
    11,777/17,690.75 = 17,690.75/x
  3. Step 3: Cross multiply
    11,777x = 17,690.75 × 17,690.75
  4. Step 4: Simplify right side
    11,777x = 312,962,635.56
  5. Step 5: Solve for x
    x = 312,962,635.56/11,777
  6. Step 6: Final answer
    x = 26,574.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.