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Finding the Third Proportional to 30,236 and 65,824

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Solution

The third proportional to 30,236 and 65,824 is: 143,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236 : 65,824 = 65,824 : x
  2. Step 2: Convert to fraction form
    30,236/65,824 = 65,824/x
  3. Step 3: Cross multiply
    30,236x = 65,824 × 65,824
  4. Step 4: Simplify right side
    30,236x = 4,332,798,976
  5. Step 5: Solve for x
    x = 4,332,798,976/30,236
  6. Step 6: Final answer
    x = 143,299.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.