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Finding the Third Proportional to 30,849 and 63,885

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Solution

The third proportional to 30,849 and 63,885 is: 132,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849 : 63,885 = 63,885 : x
  2. Step 2: Convert to fraction form
    30,849/63,885 = 63,885/x
  3. Step 3: Cross multiply
    30,849x = 63,885 × 63,885
  4. Step 4: Simplify right side
    30,849x = 4,081,293,225
  5. Step 5: Solve for x
    x = 4,081,293,225/30,849
  6. Step 6: Final answer
    x = 132,299.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.