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Finding the Third Proportional to 30,214 and 65,622

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Solution

The third proportional to 30,214 and 65,622 is: 142,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214 : 65,622 = 65,622 : x
  2. Step 2: Convert to fraction form
    30,214/65,622 = 65,622/x
  3. Step 3: Cross multiply
    30,214x = 65,622 × 65,622
  4. Step 4: Simplify right side
    30,214x = 4,306,246,884
  5. Step 5: Solve for x
    x = 4,306,246,884/30,214
  6. Step 6: Final answer
    x = 142,524.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.