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Finding the Third Proportional to 9,537 and 11,049

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Solution

The third proportional to 9,537 and 11,049 is: 12,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 11,049 = 11,049 : x
  2. Step 2: Convert to fraction form
    9,537/11,049 = 11,049/x
  3. Step 3: Cross multiply
    9,537x = 11,049 × 11,049
  4. Step 4: Simplify right side
    9,537x = 122,080,401
  5. Step 5: Solve for x
    x = 122,080,401/9,537
  6. Step 6: Final answer
    x = 12,800.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.