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Finding the Third Proportional to 13,992.75 and 21,697.88

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Solution

The third proportional to 13,992.75 and 21,697.88 is: 33,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 21,697.88 = 21,697.88 : x
  2. Step 2: Convert to fraction form
    13,992.75/21,697.88 = 21,697.88/x
  3. Step 3: Cross multiply
    13,992.75x = 21,697.88 × 21,697.88
  4. Step 4: Simplify right side
    13,992.75x = 470,797,779.52
  5. Step 5: Solve for x
    x = 470,797,779.52/13,992.75
  6. Step 6: Final answer
    x = 33,645.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.