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Finding the Third Proportional to 33,465 and 69,702

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Solution

The third proportional to 33,465 and 69,702 is: 145,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465 : 69,702 = 69,702 : x
  2. Step 2: Convert to fraction form
    33,465/69,702 = 69,702/x
  3. Step 3: Cross multiply
    33,465x = 69,702 × 69,702
  4. Step 4: Simplify right side
    33,465x = 4,858,368,804
  5. Step 5: Solve for x
    x = 4,858,368,804/33,465
  6. Step 6: Final answer
    x = 145,177.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.