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Finding the Third Proportional to 7,497 and 11,247

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Solution

The third proportional to 7,497 and 11,247 is: 16,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 11,247 = 11,247 : x
  2. Step 2: Convert to fraction form
    7,497/11,247 = 11,247/x
  3. Step 3: Cross multiply
    7,497x = 11,247 × 11,247
  4. Step 4: Simplify right side
    7,497x = 126,495,009
  5. Step 5: Solve for x
    x = 126,495,009/7,497
  6. Step 6: Final answer
    x = 16,872.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.