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Finding the Third Proportional to 7,333.50 and 12,885

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Solution

The third proportional to 7,333.50 and 12,885 is: 22,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.50 : 12,885 = 12,885 : x
  2. Step 2: Convert to fraction form
    7,333.50/12,885 = 12,885/x
  3. Step 3: Cross multiply
    7,333.50x = 12,885 × 12,885
  4. Step 4: Simplify right side
    7,333.50x = 166,023,225
  5. Step 5: Solve for x
    x = 166,023,225/7,333.50
  6. Step 6: Final answer
    x = 22,639.02

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.