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Finding the Third Proportional to 11,484.28 and 16,770.80

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Solution

The third proportional to 11,484.28 and 16,770.80 is: 24,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.28 : 16,770.80 = 16,770.80 : x
  2. Step 2: Convert to fraction form
    11,484.28/16,770.80 = 16,770.80/x
  3. Step 3: Cross multiply
    11,484.28x = 16,770.80 × 16,770.80
  4. Step 4: Simplify right side
    11,484.28x = 281,259,627.82
  5. Step 5: Solve for x
    x = 281,259,627.82/11,484.28
  6. Step 6: Final answer
    x = 24,490.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.