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Finding the Third Proportional to 30,966 and 66,306

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Solution

The third proportional to 30,966 and 66,306 is: 141,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966 : 66,306 = 66,306 : x
  2. Step 2: Convert to fraction form
    30,966/66,306 = 66,306/x
  3. Step 3: Cross multiply
    30,966x = 66,306 × 66,306
  4. Step 4: Simplify right side
    30,966x = 4,396,485,636
  5. Step 5: Solve for x
    x = 4,396,485,636/30,966
  6. Step 6: Final answer
    x = 141,977.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.