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Finding the Third Proportional to 33,524 and 66,202

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Solution

The third proportional to 33,524 and 66,202 is: 130,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524 : 66,202 = 66,202 : x
  2. Step 2: Convert to fraction form
    33,524/66,202 = 66,202/x
  3. Step 3: Cross multiply
    33,524x = 66,202 × 66,202
  4. Step 4: Simplify right side
    33,524x = 4,382,704,804
  5. Step 5: Solve for x
    x = 4,382,704,804/33,524
  6. Step 6: Final answer
    x = 130,733.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.