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Finding the Third Proportional to 11,207 and 16,285

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Solution

The third proportional to 11,207 and 16,285 is: 23,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207 : 16,285 = 16,285 : x
  2. Step 2: Convert to fraction form
    11,207/16,285 = 16,285/x
  3. Step 3: Cross multiply
    11,207x = 16,285 × 16,285
  4. Step 4: Simplify right side
    11,207x = 265,201,225
  5. Step 5: Solve for x
    x = 265,201,225/11,207
  6. Step 6: Final answer
    x = 23,663.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.