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Finding the Third Proportional to 32,844 and 70,620

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Solution

The third proportional to 32,844 and 70,620 is: 151,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 70,620 = 70,620 : x
  2. Step 2: Convert to fraction form
    32,844/70,620 = 70,620/x
  3. Step 3: Cross multiply
    32,844x = 70,620 × 70,620
  4. Step 4: Simplify right side
    32,844x = 4,987,184,400
  5. Step 5: Solve for x
    x = 4,987,184,400/32,844
  6. Step 6: Final answer
    x = 151,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.