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Finding the Third Proportional to 9,099 and 16,311

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Solution

The third proportional to 9,099 and 16,311 is: 29,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 16,311 = 16,311 : x
  2. Step 2: Convert to fraction form
    9,099/16,311 = 16,311/x
  3. Step 3: Cross multiply
    9,099x = 16,311 × 16,311
  4. Step 4: Simplify right side
    9,099x = 266,048,721
  5. Step 5: Solve for x
    x = 266,048,721/9,099
  6. Step 6: Final answer
    x = 29,239.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.