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Finding the Third Proportional to 33,538 and 69,854

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Solution

The third proportional to 33,538 and 69,854 is: 145,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538 : 69,854 = 69,854 : x
  2. Step 2: Convert to fraction form
    33,538/69,854 = 69,854/x
  3. Step 3: Cross multiply
    33,538x = 69,854 × 69,854
  4. Step 4: Simplify right side
    33,538x = 4,879,581,316
  5. Step 5: Solve for x
    x = 4,879,581,316/33,538
  6. Step 6: Final answer
    x = 145,494.11

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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.