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Finding the Third Proportional to 33,677 and 69,844

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Solution

The third proportional to 33,677 and 69,844 is: 144,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 69,844 = 69,844 : x
  2. Step 2: Convert to fraction form
    33,677/69,844 = 69,844/x
  3. Step 3: Cross multiply
    33,677x = 69,844 × 69,844
  4. Step 4: Simplify right side
    33,677x = 4,878,184,336
  5. Step 5: Solve for x
    x = 4,878,184,336/33,677
  6. Step 6: Final answer
    x = 144,852.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.