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Finding the Third Proportional to 19,814.63 and 27,170.44

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Solution

The third proportional to 19,814.63 and 27,170.44 is: 37,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.63 : 27,170.44 = 27,170.44 : x
  2. Step 2: Convert to fraction form
    19,814.63/27,170.44 = 27,170.44/x
  3. Step 3: Cross multiply
    19,814.63x = 27,170.44 × 27,170.44
  4. Step 4: Simplify right side
    19,814.63x = 738,232,673.94
  5. Step 5: Solve for x
    x = 738,232,673.94/19,814.63
  6. Step 6: Final answer
    x = 37,256.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.