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Finding the Third Proportional to 14,659.50 and 20,166

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Solution

The third proportional to 14,659.50 and 20,166 is: 27,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.50 : 20,166 = 20,166 : x
  2. Step 2: Convert to fraction form
    14,659.50/20,166 = 20,166/x
  3. Step 3: Cross multiply
    14,659.50x = 20,166 × 20,166
  4. Step 4: Simplify right side
    14,659.50x = 406,667,556
  5. Step 5: Solve for x
    x = 406,667,556/14,659.50
  6. Step 6: Final answer
    x = 27,740.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.