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Finding the Third Proportional to 13,992.75 and 21,125.25

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Solution

The third proportional to 13,992.75 and 21,125.25 is: 31,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 21,125.25 = 21,125.25 : x
  2. Step 2: Convert to fraction form
    13,992.75/21,125.25 = 21,125.25/x
  3. Step 3: Cross multiply
    13,992.75x = 21,125.25 × 21,125.25
  4. Step 4: Simplify right side
    13,992.75x = 446,276,187.56
  5. Step 5: Solve for x
    x = 446,276,187.56/13,992.75
  6. Step 6: Final answer
    x = 31,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.