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Finding the Third Proportional to 30,664 and 66,249

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Solution

The third proportional to 30,664 and 66,249 is: 143,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664 : 66,249 = 66,249 : x
  2. Step 2: Convert to fraction form
    30,664/66,249 = 66,249/x
  3. Step 3: Cross multiply
    30,664x = 66,249 × 66,249
  4. Step 4: Simplify right side
    30,664x = 4,388,930,001
  5. Step 5: Solve for x
    x = 4,388,930,001/30,664
  6. Step 6: Final answer
    x = 143,129.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.