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Finding the Third Proportional to 19,653.50 and 27,782

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Solution

The third proportional to 19,653.50 and 27,782 is: 39,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.50 : 27,782 = 27,782 : x
  2. Step 2: Convert to fraction form
    19,653.50/27,782 = 27,782/x
  3. Step 3: Cross multiply
    19,653.50x = 27,782 × 27,782
  4. Step 4: Simplify right side
    19,653.50x = 771,839,524
  5. Step 5: Solve for x
    x = 771,839,524/19,653.50
  6. Step 6: Final answer
    x = 39,272.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.