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Finding the Third Proportional to 32,844 and 69,546

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Solution

The third proportional to 32,844 and 69,546 is: 147,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 69,546 = 69,546 : x
  2. Step 2: Convert to fraction form
    32,844/69,546 = 69,546/x
  3. Step 3: Cross multiply
    32,844x = 69,546 × 69,546
  4. Step 4: Simplify right side
    32,844x = 4,836,646,116
  5. Step 5: Solve for x
    x = 4,836,646,116/32,844
  6. Step 6: Final answer
    x = 147,261.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.