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Finding the Third Proportional to 23,917.50 and 30,325.50

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Solution

The third proportional to 23,917.50 and 30,325.50 is: 38,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.50 : 30,325.50 = 30,325.50 : x
  2. Step 2: Convert to fraction form
    23,917.50/30,325.50 = 30,325.50/x
  3. Step 3: Cross multiply
    23,917.50x = 30,325.50 × 30,325.50
  4. Step 4: Simplify right side
    23,917.50x = 919,635,950.25
  5. Step 5: Solve for x
    x = 919,635,950.25/23,917.50
  6. Step 6: Final answer
    x = 38,450.34

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.