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Finding the Third Proportional to 32,836 and 69,764

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Solution

The third proportional to 32,836 and 69,764 is: 148,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836 : 69,764 = 69,764 : x
  2. Step 2: Convert to fraction form
    32,836/69,764 = 69,764/x
  3. Step 3: Cross multiply
    32,836x = 69,764 × 69,764
  4. Step 4: Simplify right side
    32,836x = 4,867,015,696
  5. Step 5: Solve for x
    x = 4,867,015,696/32,836
  6. Step 6: Final answer
    x = 148,221.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.