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Finding the Third Proportional to 7,433 and 16,233

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Solution

The third proportional to 7,433 and 16,233 is: 35,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433 : 16,233 = 16,233 : x
  2. Step 2: Convert to fraction form
    7,433/16,233 = 16,233/x
  3. Step 3: Cross multiply
    7,433x = 16,233 × 16,233
  4. Step 4: Simplify right side
    7,433x = 263,510,289
  5. Step 5: Solve for x
    x = 263,510,289/7,433
  6. Step 6: Final answer
    x = 35,451.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.