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Finding the Third Proportional to 32,832 and 68,904

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Solution

The third proportional to 32,832 and 68,904 is: 144,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 68,904 = 68,904 : x
  2. Step 2: Convert to fraction form
    32,832/68,904 = 68,904/x
  3. Step 3: Cross multiply
    32,832x = 68,904 × 68,904
  4. Step 4: Simplify right side
    32,832x = 4,747,761,216
  5. Step 5: Solve for x
    x = 4,747,761,216/32,832
  6. Step 6: Final answer
    x = 144,607.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.