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Finding the Third Proportional to 23,016.50 and 30,930

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Solution

The third proportional to 23,016.50 and 30,930 is: 41,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.50 : 30,930 = 30,930 : x
  2. Step 2: Convert to fraction form
    23,016.50/30,930 = 30,930/x
  3. Step 3: Cross multiply
    23,016.50x = 30,930 × 30,930
  4. Step 4: Simplify right side
    23,016.50x = 956,664,900
  5. Step 5: Solve for x
    x = 956,664,900/23,016.50
  6. Step 6: Final answer
    x = 41,564.31

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.