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Finding the Third Proportional to 14,195.25 and 19,852.88

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Solution

The third proportional to 14,195.25 and 19,852.88 is: 27,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.25 : 19,852.88 = 19,852.88 : x
  2. Step 2: Convert to fraction form
    14,195.25/19,852.88 = 19,852.88/x
  3. Step 3: Cross multiply
    14,195.25x = 19,852.88 × 19,852.88
  4. Step 4: Simplify right side
    14,195.25x = 394,136,645.77
  5. Step 5: Solve for x
    x = 394,136,645.77/14,195.25
  6. Step 6: Final answer
    x = 27,765.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.