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Finding the Third Proportional to 32,961 and 64,302

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Solution

The third proportional to 32,961 and 64,302 is: 125,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961 : 64,302 = 64,302 : x
  2. Step 2: Convert to fraction form
    32,961/64,302 = 64,302/x
  3. Step 3: Cross multiply
    32,961x = 64,302 × 64,302
  4. Step 4: Simplify right side
    32,961x = 4,134,747,204
  5. Step 5: Solve for x
    x = 4,134,747,204/32,961
  6. Step 6: Final answer
    x = 125,443.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.