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Finding the Third Proportional to 32,016 and 68,964

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Solution

The third proportional to 32,016 and 68,964 is: 148,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016 : 68,964 = 68,964 : x
  2. Step 2: Convert to fraction form
    32,016/68,964 = 68,964/x
  3. Step 3: Cross multiply
    32,016x = 68,964 × 68,964
  4. Step 4: Simplify right side
    32,016x = 4,756,033,296
  5. Step 5: Solve for x
    x = 4,756,033,296/32,016
  6. Step 6: Final answer
    x = 148,551.76

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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.