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Finding the Third Proportional to 14,114.25 and 19,743.75

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Solution

The third proportional to 14,114.25 and 19,743.75 is: 27,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.25 : 19,743.75 = 19,743.75 : x
  2. Step 2: Convert to fraction form
    14,114.25/19,743.75 = 19,743.75/x
  3. Step 3: Cross multiply
    14,114.25x = 19,743.75 × 19,743.75
  4. Step 4: Simplify right side
    14,114.25x = 389,815,664.06
  5. Step 5: Solve for x
    x = 389,815,664.06/14,114.25
  6. Step 6: Final answer
    x = 27,618.59

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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.