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Finding the Third Proportional to 11,112.50 and 16,230

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Solution

The third proportional to 11,112.50 and 16,230 is: 23,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112.50 : 16,230 = 16,230 : x
  2. Step 2: Convert to fraction form
    11,112.50/16,230 = 16,230/x
  3. Step 3: Cross multiply
    11,112.50x = 16,230 × 16,230
  4. Step 4: Simplify right side
    11,112.50x = 263,412,900
  5. Step 5: Solve for x
    x = 263,412,900/11,112.50
  6. Step 6: Final answer
    x = 23,704.20

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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.