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Finding the Third Proportional to 9,233 and 13,156

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Solution

The third proportional to 9,233 and 13,156 is: 18,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233 : 13,156 = 13,156 : x
  2. Step 2: Convert to fraction form
    9,233/13,156 = 13,156/x
  3. Step 3: Cross multiply
    9,233x = 13,156 × 13,156
  4. Step 4: Simplify right side
    9,233x = 173,080,336
  5. Step 5: Solve for x
    x = 173,080,336/9,233
  6. Step 6: Final answer
    x = 18,745.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.