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Finding the Third Proportional to 32,845 and 69,611

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Solution

The third proportional to 32,845 and 69,611 is: 147,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,845 : 69,611 = 69,611 : x
  2. Step 2: Convert to fraction form
    32,845/69,611 = 69,611/x
  3. Step 3: Cross multiply
    32,845x = 69,611 × 69,611
  4. Step 4: Simplify right side
    32,845x = 4,845,691,321
  5. Step 5: Solve for x
    x = 4,845,691,321/32,845
  6. Step 6: Final answer
    x = 147,532.08

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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.