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Finding the Third Proportional to 7,540.50 and 16,233

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Solution

The third proportional to 7,540.50 and 16,233 is: 34,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.50 : 16,233 = 16,233 : x
  2. Step 2: Convert to fraction form
    7,540.50/16,233 = 16,233/x
  3. Step 3: Cross multiply
    7,540.50x = 16,233 × 16,233
  4. Step 4: Simplify right side
    7,540.50x = 263,510,289
  5. Step 5: Solve for x
    x = 263,510,289/7,540.50
  6. Step 6: Final answer
    x = 34,946.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.