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Finding the Third Proportional to 30,214 and 66,406

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Solution

The third proportional to 30,214 and 66,406 is: 145,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214 : 66,406 = 66,406 : x
  2. Step 2: Convert to fraction form
    30,214/66,406 = 66,406/x
  3. Step 3: Cross multiply
    30,214x = 66,406 × 66,406
  4. Step 4: Simplify right side
    30,214x = 4,409,756,836
  5. Step 5: Solve for x
    x = 4,409,756,836/30,214
  6. Step 6: Final answer
    x = 145,950.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.