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Finding the Third Proportional to 32,049 and 68,838

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Solution

The third proportional to 32,049 and 68,838 is: 147,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049 : 68,838 = 68,838 : x
  2. Step 2: Convert to fraction form
    32,049/68,838 = 68,838/x
  3. Step 3: Cross multiply
    32,049x = 68,838 × 68,838
  4. Step 4: Simplify right side
    32,049x = 4,738,670,244
  5. Step 5: Solve for x
    x = 4,738,670,244/32,049
  6. Step 6: Final answer
    x = 147,857.04

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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.